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Memoirs of the American Mathematical Society 1295. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4219-4/pbk; 978-1-4704-6253-6/ebook). v, 131 p. (2020).

Reviewer: Ahmed Lesfari (El Jadida)

MSC: 11-02 11G05 11G40 11G30 14H05

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Tankeev, Sergeiĭ Gennad’evich

On algebraic isomorphisms of rational cohomology of a Künnemann compactification of the Néron minimal model. (English) Zbl 1433.14006

Sib. Èlektron. Mat. Izv. 17, 89-125 (2020).

MSC: 14C25 14F25 14J30

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Sengupta, Akash Kumar

Manin’s \(b\)-constant in families. (English) Zbl 1423.14112

Algebra Number Theory 13, No. 8, 1893-1905 (2019).

MSC: 14E30 14G05

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Česnavičius, Kęstutis

The Manin constant in the semistable case. (English) Zbl 1430.11086

Compos. Math. 154, No. 9, 1889-1920 (2018).

Reviewer: Andrea Bandini (Pisa)

MSC: 11G05 11G10 11G18 11F11 14G35

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Bogomolov, Fedor; Halle, Lars Halvard; Pazuki, Fabien; Tanimoto, Sho

Abelian Calabi-Yau threefolds: Néron models and rational points. (English) Zbl 1404.14048

Math. Res. Lett. 25, No. 2, 367-392 (2018).

Reviewer: Fabrizio Anella (Roma)

MSC: 14J32 14J30 14G05

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Lorenzini, Dino

Néron models. (English) Zbl 1396.14038

Eur. J. Math. 3, No. 2, 171-198 (2017).

Reviewer: Cherng-tiao Perng (Norfolk)

MSC: 14K15 11G10 14L15

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Orecchia, Giulio

Semi-factorial nodal curves and Néron models of Jacobians. (English) Zbl 1386.14054

Manuscr. Math. 154, No. 3-4, 309-341 (2017); erratum ibid. 154, No. 3–4, 343–344 (2017).

Reviewer: Quentin Gendron (Morelia)

MSC: 14D06

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Biesel, Owen; Holmes, David; de Jong, Robin

Néron models and the height jump divisor. (English) Zbl 1374.14023

Trans. Am. Math. Soc. 369, No. 12, 8685-8723 (2017).

Reviewer: Roberto Dvornicich (Pisa)

MSC: 14H10 11G50 14G40 14K15

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Grekhov, M. V.

Integral models of algebraic tori over fields of algebraic numbers. (English. Russian original) Zbl 1386.14169

J. Math. Sci., New York 219, No. 3, 413-426 (2016); translation from Zap. Nauchn. Semin. POMI 430, 114-135 (2014).

Reviewer: Nikolaj M. Glazunov (Kyïv)

MSC: 14L10 14G25

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Liu, Qing; Tong, Jilong

Néron models of algebraic curves. (English) Zbl 1360.14085

Trans. Am. Math. Soc. 368, No. 10, 7019-7043 (2016).

Reviewer: Jeroen Sijsling (Ulm)

MSC: 14H25 14G20 14G40 11G35

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Halle, Lars Halvard; Nicaise, Johannes

Néron models and base change. (English) Zbl 1353.14056

Lecture Notes in Mathematics 2156. Cham: Springer (ISBN 978-3-319-26637-4/pbk; 978-3-319-26638-1/ebook). x, 151 p. (2016).

Reviewer: G. K. Sankaran (Bath)

MSC: 14K15 14E18 14G22 14H40

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Nakayama, Chikara

Log Néron models over surfaces. II. (English) Zbl 1331.14014

Hokkaido Math. J. 44, No. 3, 365-385 (2015).

MSC: 14C30 14D07 32G20

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Wong, Siman

Torsion sections of abelian fibrations. (English) Zbl 1328.11072

Proc. Am. Math. Soc. 143, No. 10, 4133-4141 (2015).

Reviewer: Yong Hu (Caen Cedex)

MSC: 11G35 11G05 14G05 11G30

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Tankeev, S. G.

On the standard conjecture and the existence of a Chow-Lefschetz decomposition for complex projective varieties. (English. Russian original) Zbl 1318.14012

Izv. Math. 79, No. 1, 177-207 (2015); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 1, 185-216 (2015).

Reviewer: Fumio Hazama (Hatoyama)

MSC: 14C25 14F25 14J30 14J35

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Thuong, Lê Quy

Proofs of the integral identity conjecture over algebraically closed fields. (English) Zbl 1370.14017

Duke Math. J. 164, No. 1, 157-194 (2015).

MSC: 14E18 03C60 14B20 14G22 32S45 11S80

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Kass, Jesse Leo

An explicit semi-factorial compactification of the Néron model. (Une compactification semi-factorielle explicite du modèle de Néron.) (English. French summary) Zbl 1303.14041

C. R., Math., Acad. Sci. Paris 352, No. 9, 667-671 (2014).

Reviewer: Noah Giansiracusa (Athens)

MSC: 14H40 11G10 14H25 14K30 14C20 14G20

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Lorenzini, Dino

Wild models of curves. (English) Zbl 1332.14029

Algebra Number Theory 8, No. 2, 331-367 (2014).

Reviewer: Nikolaj M. Glazunov (Kyïv)

MSC: 14G20 14G17 14K15 14J17

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Kato, Kazuya; Nakayama, Chikara; Usui, Sampei

Néron models for admissible normal functions. (English) Zbl 1303.14022

Proc. Japan Acad., Ser. A 90, No. 1, 6-10 (2014).

Reviewer: Alberto Collino (Torino)

MSC: 14C30 14D05 14D07 14K30 32G20 32J25 32S35

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Pépin, Cédric

Néron models of Picard varieties. (English) Zbl 1316.14088

RIMS Kôkyûroku Bessatsu B44, 25-38 (2013).

Reviewer: Nathan Grieve (Montréal)

MSC: 14K30 14A15 14G20 11G10

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Kass, Jesse Leo

Two ways to degenerate the Jacobian are the same. (English) Zbl 1273.14061

Algebra Number Theory 7, No. 2, 379-404 (2013).

Reviewer: V. V. Chueshev (Kemerovo)

MSC: 14H40 14L15 14D22 14H10

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Pépin, Cédric

Semi-factorial models and Néron models. (Modèles semi-factoriels et modèles de Néron.) (French. English summary) Zbl 1263.14046

Math. Ann. 355, No. 1, 147-185 (2013).

Reviewer: Jérôme Poineau (Strasbourg)

MSC: 14K30 14C20 14G20 11G10

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Grekhov, M. V.

Néron model of two-dimensional anisotropic algebraic tori over local fields. (Russian. English summary) Zbl 1318.14022

Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2012, No. 9(100), 31-40 (2012).

MSC: 14G05 14G20 11G25 11G10

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Pépin, Cédric

Néron’s pairing and relative algebraic equivalence. (English) Zbl 1321.14038

Algebra Number Theory 6, No. 7, 1315-1348 (2012).

Reviewer: Nikolaj M. Glazunov (Kyïv)

MSC: 14K30 14G40 14K15 11G10

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Caporaso, Lucia

Compactified Jacobians of Néron type. (English) Zbl 1244.14031

Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 23, No. 2, 213-227 (2012).

Reviewer: Dan Petersen (Stockholm)

MSC: 14K30 14H10 14H40

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Briend, Jean-Yves; Hsia, Liang-Chung

Weak Néron models for cubic polynomial maps over a non-archimedean field. (English) Zbl 1302.37058

Acta Arith. 153, No. 4, 415-428 (2012).

MSC: 37P05 11G25 14G20 37P20

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González-Avilés, Cristian D.

On Néron class groups of abelian varieties. (English) Zbl 1242.14021

J. Reine Angew. Math. 664, 71-91 (2012).

Reviewer: Tamás Szamuely (Budapest)

MSC: 14G25 11G35 11G10

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Kato, Kazuya; Nakayama, Chikara; Usui, Sampei

Analyticity of the closures of some Hodge theoretic subspaces. (English) Zbl 1252.14010

Proc. Japan Acad., Ser. A 87, No. 9, 167-172 (2011).

Reviewer: Zsolt Patakfalvi (Princeton)

MSC: 14D07 14C30 32G20

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Bright, Martin

Torsors under tori and Néron models. (English. French summary) Zbl 1251.14013

J. Théor. Nombres Bordx. 23, No. 2, 309-321 (2011).

Reviewer: Boris Kunyavskii (Ramat Gan)

MSC: 14G20 14G05 14F20 11G25

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Nicaise, Johannes

Motivic invariants of algebraic tori. (English) Zbl 1216.14018

Proc. Am. Math. Soc. 139, No. 4, 1163-1174 (2011).

Reviewer: Immanuel Halupczok (Münster)

MSC: 14G10 20G25 14F20

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Halle, Lars Halvard; Nicaise, Johannes

Motivic zeta functions of Abelian varieties, and the monodromy conjecture. (English) Zbl 1230.11076

Adv. Math. 227, No. 1, 610-653 (2011).

Reviewer: Matthias Schütt (Hannover)

MSC: 11G10 14G10 14D05 14G22

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Kato, Kazuya; Nakayama, Chikara; Usui, Sampei

Néron models in log mixed Hodge theory by weak fans. (English) Zbl 1209.14009

Proc. Japan Acad., Ser. A 86, No. 8, 143-148 (2010).

Reviewer: Christian Schnell (Chicago)

MSC: 14C30 14D07 32G20

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Kato, Kazuya; Nakayama, Chikara; Usui, Sampei

Log intermediate Jacobians. (English) Zbl 1200.14024

Proc. Japan Acad., Ser. A 86, No. 4, 73-78 (2010).

Reviewer: Davide Franco (Napoli)

MSC: 14C30 14D07 32G20

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Demchenko, Oleg; Gurevich, Alexander; Xarles, Xavier

Formal completions of Néron models for algebraic tori. (English) Zbl 1200.14090

Proc. Lond. Math. Soc. (3) 100, No. 3, 607-638 (2010).

Reviewer: Enric Nart Viñals (Barcelona)

MSC: 14L05 14G25 11G35

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Cais, Bryden

Canonical extensions of Néron models of Jacobians. (English) Zbl 1193.14058

Algebra Number Theory 4, No. 2, 111-150 (2010).

Reviewer: Elmar Große-Klönne (Berlin)

MSC: 14L15 14H25 14F30 14F40 11G20

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Green, Mark; Griffiths, Phillip; Kerr, Matt

Néron models and limits of Abel-Jacobi mappings. (English) Zbl 1195.14006

Compos. Math. 146, No. 2, 288-366 (2010).

Reviewer: Davide Franco (Napoli)

MSC: 14C25 14C30 14C35 14D06 14D07 14F42 14F43

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Pacini, Marco

On Néron models of moduli spaces of theta characteristics. (English) Zbl 1194.14045

J. Algebra 323, No. 3, 658-670 (2010).

Reviewer: Christophe Ritzenthaler (Marseille)

MSC: 14H42

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Faltings, Gerd

Néron models and formal groups. (English) Zbl 1193.14057

Milan J. Math. 76, 93-123 (2008).

Reviewer: Elmar Große-Klönne (Berlin)

MSC: 14L05 14K15 14L15

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Caporaso, Lucia

Compactified Jacobians, Abel maps and theta divisors. (English) Zbl 1152.14027

Alexeev, Valery (ed.) et al., Curves and abelian varieties. International conference, Athens, GA, USA, March 30–April 2, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4334-5/pbk). Contemporary Mathematics 465, 1-23 (2008).

Reviewer: Christophe Ritzenthaler (Marseille)

MSC: 14H40 14H51 14K30

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Vasiu, Adrian

Projective integral models of Shimura varieties of Hodge type with compact factors. (English) Zbl 1230.11079

J. Reine Angew. Math. 618, 51-75 (2008).

MSC: 11G18 14G35

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Caporaso, Lucia; Esteves, Eduardo

On Abel maps of stable curves. (English) Zbl 1134.14019

Mich. Math. J. 55, No. 3, 575-608 (2007).

Reviewer: Edoardo Ballico (Povo)

MSC: 14H10 14H40 14C20 14K30

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Gillibert, Jean

Class-invariants: examples of higher-dimensional nonvanishing. (Invariants de classes: exemples de non-annulation en dimension supérieure.) (French. English summary) Zbl 1137.11042

Math. Ann. 338, No. 2, 475-495 (2007).

Reviewer: Bernhard Köck (Southampton)

MSC: 11G10 14K15 11R33

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Tong, Jilong

The Albanese map for curves and contractions. (Application d’Albanese pour les courbes et contractions.) (English) Zbl 1130.14024

Math. Ann. 338, No. 2, 405-420 (2007).

Reviewer: Takao Yamazaki (Tohoku)

MSC: 14H20 14G20

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Milne, J. S.

Arithmetic duality theorems. 2nd ed. (English) Zbl 1127.14001

Charleston, SC: BookSurge, LLC (ISBN 1-4196-4274-X/pbk). viii, 339 p. (2006).

Reviewer: Boris Kunyavskii (Ramat Gan)

MSC: 14-02 14G20 14G25 11R34 14F45 14F20

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Papikian, Mihran

Pesenti-Szpiro inequality for optimal elliptic curves. (English) Zbl 1084.11027

J. Number Theory 114, No. 2, 361-393 (2005).

Reviewer: Andreas Schweizer (Exeter)

MSC: 11G05 11G18 14G22

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Buchheim, Christoph; Frommer, Henning

Réduction des tores déployés par une extension modérément ramifiée. (Reduction of tori split over tamely ramified extensions). (French) Zbl 1050.14011

C. R., Math., Acad. Sci. Paris 338, No. 3, 219-221 (2004).

Reviewer: Alexandru Dimca (Nice)

MSC: 14E22 11G25

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Szydlo, Michael

Elliptic fibers over non-perfect residue fields. (English) Zbl 1041.14001

J. Number Theory 104, No. 1, 75-99 (2004).

MSC: 14E30 14H20 11G05 14D06 14E15 14H55 14G27

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Long, Ling

\(L\)-series of certain elliptic surfaces. (English) Zbl 1066.14044

Can. Math. Bull. 46, No. 4, 546-558 (2003).

Reviewer: B. Z. Moroz (Bonn)

MSC: 14J27 11F66 14G35 11G18 11G40

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Loeser, François; Sebag, Julien

Motivic integration on smooth rigid varieties and invariants of degenerations. (English) Zbl 1078.14029

Duke Math. J. 119, No. 2, 315-344 (2003).

Reviewer: Werner Kleinert (Berlin)

MSC: 14E18 14G22 14D06 14J17 14E30 11S80 14J32

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Brahm, Bernhard

Néron models of algebraic tori. (Néron-Modelle algebraischer Tori.) (German) Zbl 1041.14006

Schriftenreihe des Mathematischen Instituts der Universität Münster. 3. Serie 31. Münster: Univ. Münster, Mathematisches Institut; Münster: Univ. Münster, Fachbereich Mathematik und Informatik (Dissertation). x, 134 S. (2003).

Reviewer: G. K. Sankaran (Bath)

MSC: 14G20 20G25 11G25 14L15

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Khare, Chandrashekhar

[Böckle, Gebhard]

On isomorphisms between deformation rings and Hecke rings (with an Appendix by Gebhard Böckle). (English) Zbl 1042.11031

Invent. Math. 154, No. 1, 199-222 (2003).

Reviewer: A. Dabrowski (Szczecin)

MSC: 11F80 11F33

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Bertapelle, Alessandra

Local flat duality of abelian varieties. (English) Zbl 1059.14055

Manuscr. Math. 111, No. 2, 141-161 (2003).

Reviewer: Vasyl I. Andriychuk (Lviv)

MSC: 14K05 14K15 14F20 14G22

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Matsuki, Kenji

Introduction to the Mori program. (English) Zbl 0988.14007

Universitext. New York, NY: Springer (ISBN 0-387-98465-8/hbk). xxiii, 478 p. (2002).

Reviewer: Werner Kleinert (Berlin)

MSC: 14E30 14-02 14J10 14J30

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Merel, Loïc

[Kowalski, E.; Michel, P.]

Sur la nature non-cyclotomique des points d’ordre fini des courbes elliptiques. (On the noncyclotomic nature of finite-order points of elliptic curves). With an appendix by E. Kowalski and P. Michel. (French) Zbl 1020.11041

Duke Math. J. 110, No. 1, 81-119 (2001).

Reviewer: D.Poulakis (Thessaloniki)

MSC: 11G05 14G05 11G40 11L40

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Takahashi, Shuzo

Degrees of parametrizations of elliptic curves by Shimura curves. (English) Zbl 0997.11043

J. Number Theory 90, No. 1, 74-88 (2001).

Reviewer: D.Poulakis (Thessaloniki)

MSC: 11G05 11G18 11F33 14G25 14H25

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Fastenberg, Lisa A.

Computing Mordell-Weil ranks of cyclic covers of elliptic surfaces. (English) Zbl 0971.14021

Proc. Am. Math. Soc. 129, No. 7, 1877-1883 (2001).

Reviewer: Amílcar Pacheco (Rio de Janeiro)

MSC: 14G05 14J27 11G05 14H05 11R58

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Edixhoven, S. J.; Moonen, B. J. J.; Oort, F.

Open problems in algebraic geometry. (English) Zbl 1009.11002

Bull. Sci. Math. 125, No. 1, 1-22 (2001).

MSC: 11-02 14-02 11F41 11G10 11G18 14J28 14J32

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Liu, Qing; Lorenzini, Dino

Special fibers of Néron models and wild ramification. (English) Zbl 0970.14025

J. Reine Angew. Math. 532, 179-222 (2001).

Reviewer: Qing Liu and Dino Lorenzini

MSC: 14L15 20G25 14L30 14G15

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Kim, Minhyong; Marshall, Susan H.

Crystalline subrepresentations and Neron models. (English) Zbl 0979.11034

Math. Res. Lett. 7, No. 5-6, 605-614 (2000).

Reviewer: Marc Reversat (Toulouse)

MSC: 11G10 14K15

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Hartl, Urs; Lütkebohmert, Werner

On rigid-analytic Picard varieties. (English) Zbl 1044.14007

J. Reine Angew. Math. 528, 101-148 (2000).

Reviewer: William McCallum (Tucson)

MSC: 14G22 14K30 14C22

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Silverberg, A.; Zarhin, Yu. G.

Reduction of abelian varieties. (English) Zbl 1029.14014

Gordon, B. Brent (ed.) et al., The arithmetic and geometry of algebraic cycles. Proceedings of the NATO Advanced Study Institute, Banff, Canada, June 7-19, 1998. Vol. 1. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 548, 495-513 (2000).

Reviewer: Gunther Cornelissen (Utrecht)

MSC: 14K05 14G20 14K15