Found 59 Documents (Results 1–59)
Geometric Bogomolov conjecture in arbitrary characteristics. (English) Zbl 1508.14028
Reviewer: Nikolaj M. Glazunov (Kyïv)
Manin-Mumford by Weyl’s criterion. (Manin-Mumford par le critère de Weyl.) (French. English summary) Zbl 1499.11222
Cyclotomic torsion points in elliptic schemes. (English) Zbl 1491.11058
Reviewer: Sungkon Chang (Savannah)
Pink’s conjecture on unlikely intersections and families of semi-abelian varieties. (Sur la conjecture de Pink sur les intersections exceptionnelles et les familles de variétés semi-abéliennes.) (English. French summary) Zbl 1461.14064
Reviewer: Jiaming Chen (Vandœuvre-lès-Nancy)
The dynamical Manin-Mumford conjecture and the dynamical Bogomolov conjecture for split rational maps. (English) Zbl 1426.37064
The dynamical Manin-Mumford conjecture and the dynamical Bogomolov conjecture for endomorphisms of \((\mathbb{P}^{1})^{n}\). (English) Zbl 1432.37122
Sparsity of \(p\)-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer. (English) Zbl 1401.14191
Reviewer: G. K. Sankaran (Bath)
O-minimality as an approach to the André-Oort conjecture. (English) Zbl 1522.11061
Habegger, Philipp et al., Autour de la conjecture de Zilber-Pink. Paris: Société Mathématique de France (SMF). Panor. Synth. 52, 111-165 (2017).
Special points and intersections in abelian and Shimura varieties. (English) Zbl 1522.11064
Habegger, Philipp et al., Autour de la conjecture de Zilber-Pink. Paris: Société Mathématique de France (SMF). Panor. Synth. 52, 89-110 (2017).
A few remarks on a Manin-Mumford conjecture in function field arithmetic and generalized Pila-Wilkie estimates. (English) Zbl 1416.11085
The Manin-Mumford conjecture, an elliptic curve, its torsion points & their Galois orbits. (English) Zbl 1417.11106
Wilkie, A. J. (ed.) et al., O-minimality and diophantine geometry. Including lecture notes from the LMS-EPSRC short course, Manchester, UK, July 2013. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 421, 1-40 (2015).
Generalized Jacobians and Pellian polynomials. (English. French summary) Zbl 1330.14046
Reviewer: Fumio Hazama (Hatoyama)
Rational points on analytic varieties. (English) Zbl 1330.14031
Reviewer: D. R. Heath-Brown (Oxford)
\(T\)-modules and Pila-Wilkie estimates. (English) Zbl 1321.11067
Reviewer: Michel Waldschmidt (Paris)
On torsion anomalous intersections. (English) Zbl 1316.11058
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 25, No. 1, 1-36 (2014).
Reviewer: Jorge Pineiro (Bronx)
On the Manin-Mumford and Mordell-Lang conjectures in positive characteristic. (English) Zbl 1295.14024
Reviewer: Jorge Pineiro (Bronx)
Special points on fibered powers of elliptic surfaces. (English) Zbl 1318.14023
Reviewer: Matthias Schütt (Hannover)
Torsion points in families of Drinfeld modules. (English) Zbl 1306.11048
Reviewer: Gabriel D. Villa-Salvador (México D. F.)
Some problems of unlikely intersections in arithmetic and geometry. With appendixes by David Masser. (English) Zbl 1246.14003
Annals of Mathematics Studies 181. Princeton, NJ: Princeton University Press (ISBN 978-0-691-15371-1/pbk; 978-0-691-15370-4/hbk; 978-1-400-84271-1/ebook). xi, 160 p. (2012).
Reviewer: Shun Tang (Orsay)
Towards a dynamical Manin-Mumford conjecture. (English) Zbl 1267.37110
Reviewer: Yu Yasufuku (Tokyo)
\(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\). (English) Zbl 1243.14022
Reviewer: Michel Waldschmidt (Paris)
Equidistribution theorems in algebraic dynamics. (Théorèmes d’équidistribution pour les systèmes dynamiques d’origine arithmétique.) (French. English summary) Zbl 1302.37065
Cantat, Serge et al., Quelques aspects des systèmes dynamiques polynomiaux. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-338-6). Panoramas et Synthèses 30, 203-294 (2010).
Towards the full Mordell-Lang conjecture for Drinfeld modules. (English) Zbl 1219.11086
Reviewer: Lenny Taelman (Leiden)
Galois orbits and equidistribution: Manin-Mumford and André-Oort. (English) Zbl 1209.11055
Reviewer: Benoît Stroh (Paris)
Nondense subsets of varieties in a power of an elliptic curve. (English) Zbl 1168.14030
Reviewer: Vasyl I. Andriychuk (Lviv)
Intersection of curves and of subgroups and lower bound problems for the height in CM abelian varieties. (Intersection de courbes et de sous-groupes et problèmes de minoration de dernière hauteur dans les variétés abéliennes C.M.) (French. English summary) Zbl 1156.11025
Reviewer: Peter Jossen (Budapest)
Rational points in periodic analytic sets and the Manin-Mumford conjecture. (English) Zbl 1164.11029
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 19, No. 2, 149-162 (2008).
Reviewer: Michel Waldschmidt (Paris)
Torus groups. (English) Zbl 1182.42011
Torus groups. (English) Zbl 1221.42012
Proceedings of the international conference on mathematics and its applications, ICMA-MU 2007, Bangkok, Thailand, August 15–17, 2007. Bangkok: Mahidol University. 13-23 (2007).
Reviewer: Olaf Ninnemann (Uffing am Staffelsee)
Analytic difference rings. (English) Zbl 1104.03029
Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 71-92 (2006).
On the Manin-Mumford conjecture for abelian varieties with a prime of supersingular reduction. (English) Zbl 1100.14036
Reviewer: Gerard van der Geer (Amsterdam)
A combination of the conjectures of Mordell-Lang and André-Oort. (English) Zbl 1200.11041
Bogomolov, Fedor (ed.) et al., Geometric methods in algebra and number theory. Basel: Birkhäuser (ISBN 0-8176-4349-4/hbk). Progress in Mathematics 235, 251-282 (2005).
Reviewer: Imin Chen (Burnaby)
Model theory and geometry. (English) Zbl 1092.03019
Cori, René (ed.) et al., Logic colloquium 2000. Proceedings of the annual European summer meeting of the Association for Symbolic Logic, Paris, France, July 23–31, 2000. Wellesley, MA: A K Peters; Urbana, IL: Association for Symbolic Logic (ISBN 1-56881-251-5/hbk; 1-56881-252-3/hbk). Lecture Notes in Logic 19, 3-31 (2005).
Reviewer: Oleg V. Belegradek (Istanbul)
On Hrushovski’s proof of the Manin-Mumford conjecture. (English) Zbl 1026.14012
Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. I: Plenary lectures and ceremonies. Beijing: Higher Education Press. 539-546 (2002).
MSC:
14K12
Diophantine geometry of the torsion of a Drinfeld module. (English) Zbl 1055.11037
Reviewer: Carlo Toffalori (Camerino)
Model theory and differential algebra. (English) Zbl 1023.03031
Guo, Li (ed.) et al., Proceedings of the international workshop on differential algebra and related topics, Rutgers-The State University of New Jersey, New Brunswick, NJ, USA, November 2-3, 2000. Singapore: World Scientific. 125-150 (2002).
Reviewer: C.Toffalori (Camerino)
Model theory and the Manin-Mumford conjecture (after Ehud Hrushovski). (Théorie des modèles et conjecture de Manin-Mumford (d’après Ehud Hrushovski]).) (French) Zbl 0994.03033
Séminaire Bourbaki. Volume 1999/2000. Exposés 865-879. Paris: Société Mathématique de France, Astérisque 276, 137-159, Exp. No. 870 (2002).
The Manin-Mumford conjecture and the model theory of difference fields. (English) Zbl 0987.03036
Reviewer: C.Toffalori (Camerino)
Torsion packets on curves. (English) Zbl 0987.14020
Reviewer: E.Gómez González (Salamanca)
Diophantine geometry from model theory. (English) Zbl 0984.03035
Reviewer: Dimitru Busneag (Craiova)
Almost rational torsion points on semistable elliptic curves. (English) Zbl 1002.14004
Reviewer: Everett W.Howe (San Diego)
A survey on the model theory of difference fields. (English) Zbl 0961.03035
Haskell, Deirdre (ed.) et al., Model theory, algebra, and geometry. Cambridge: Cambridge University Press. Math. Sci. Res. Inst. Publ. 39, 65-96 (2000).
Torsion points on modular curves. (English) Zbl 0972.11057
Reviewer: Bjorn Poonen (Berkeley)
Geometrical model theory. (English) Zbl 0906.03035
Reviewer: C.Toffalori (Camerino)
Model theory and diophantine geometry. (English) Zbl 0884.03040
Bull. Am. Math. Soc., New Ser. 34, No. 4, 405-422 (1997); erratum ibid. 35, No. 1, 67 (1998).
Reviewer: C.Toffalori (Camerino)
ACFA and the Manin-Mumford conjecture. (English) Zbl 0884.03039
Hart, Bradd T. (ed.) et al., Algebraic model theory. Proceedings of the NATO Advanced Study Institute on algebraic model theory, Toronto, Canada, August 19-30, 1996. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 496, 195-205 (1997).
Reviewer: O.V.Belegradek (Kemerovo)
Groups definable in ACFA. (English) Zbl 0884.03038
Hart, Bradd T. (ed.) et al., Algebraic model theory. Proceedings of the NATO Advanced Study Institute on algebraic model theory, Toronto, Canada, August 19-30, 1996. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 496, 25-52 (1997).
Reviewer: O.V.Belegradek (Kemerovo)
An introduction to independence and local modularity. (English) Zbl 0884.03037
Hart, Bradd T. (ed.) et al., Algebraic model theory. Proceedings of the NATO Advanced Study Institute on algebraic model theory, Toronto, Canada, August 19-30, 1996. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 496, 1-24 (1997).
Reviewer: O.V.Belegradek (Kemerovo)
Lang’s conjecture in characteristic \(p\): An explicit bound. (English) Zbl 0885.14010
Reviewer: D.Bertrand (Paris)
Geometry of \(p\)-jets. (English) Zbl 0882.14007
Reviewer: D.Goss (Columbus/Ohio)
Ramified torsion points on curves. (English) Zbl 0626.14022
Reviewer: G.Faltings
Curves on an abelian variety [after M. Raynaud]. (Courbes sur une variété abélienne [d’après M. Raynaud].) (French) Zbl 0602.14042
Sémin. Bourbaki, 36e année, Vol. 1983/84, Exp. No. 625, Astérisque 121-122, 213-224 (1985).
Reviewer: Daniel Bertrand (Paris)
Courbes sur une variété abélienne et points de torsion. (French) Zbl 0564.14020
Reviewer: F.Oort
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