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Fust, Paulina; Ludwig, Judith; Pozzi, Alice; Santos, Mafalda; Wiersema, Hanneke

Real quadratic singular moduli and \(p\)-adic families of modular forms. (English) Zbl 07919518

Abdellatif, Ramla (ed.) et al., Women in numbers Europe IV. Research directions in number theory. Selected papers based on the presentations at the 4th workshop, WINE 4, Utrecht, the Netherlands, August 29 – September 2, 2022. Cham: Springer. Assoc. Women Math. Ser. 32, 253-291 (2024).

MSC: 11F11 11G05 11G18 11G40 11F33 14G22 11F85

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Yu, Yih-Jeng

A note on special fibers of Shimura curves and special representations. (English) Zbl 1443.11095

Taiwanese J. Math. 24, No. 3, 523-544 (2020).

MSC: 11F80 11G18 14F06 14G22 14K10

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Amorós, Laia; Milione, Piermarco

Mumford curves covering \(p\)-adic Shimura curves and their fundamental domains. (English) Zbl 1468.11139

Trans. Am. Math. Soc. 371, No. 2, 1119-1149 (2019).

MSC: 11G18 11R52 14G35 14G22

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Betina, Adel; Lecouturier, Emmanuel

Congruence formulas for Legendre modular polynomials. (English) Zbl 1428.14039

J. Number Theory 188, 71-87 (2018).

MSC: 14G35 14G22 11S80 14H52 14K22 14K10

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Papikian, Mihran; Rabinoff, Joseph

Optimal quotients of Jacobians with toric reduction and component groups. (English) Zbl 1410.11073

Can. J. Math. 68, No. 6, 1362-1381 (2016).

MSC: 11G18 14G22 14G20

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Tsushima, Takahiro

Stable reduction of \(X_{0}(p^{4})\). (English) Zbl 1411.14025

J. Reine Angew. Math. 707, 1-43 (2015).

MSC: 14G22 11G30 14G35

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Cornelissen, Gunther; Kato, Fumiharu; Kool, Janne

A combinatorial Li-Yau inequality and rational points on curves. (English) Zbl 1341.11034

Math. Ann. 361, No. 1-2, 211-258 (2015).

Reviewer: Liang-Chung Hsia (Taipei)

MSC: 11G09 11G18 11G30 05C50 14G05 14G22 14H51

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Amini, Omid (ed.); Baker, Matthew (ed.); Faber, Xander (ed.)

Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. (English) Zbl 1281.14002

Contemporary Mathematics 605. Centre de Recherches Mathématiques Proceedings. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (ISBN 978-1-4704-1021-6/pbk). xiv, 256 p. (2013).

MSC: 14-06 14T05 14M25 14G22 14G35 14G40 14H10 14H40 00B25

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Džambić, Amir; Jones, Gareth A.

\(p\)-adic Hurwitz groups. (English) Zbl 1298.14027

J. Algebra 379, 179-207 (2013).

Reviewer: Aaron Wootton (Portland)

MSC: 14G22 20B25 11F06 14H37 20B15 20E06

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Tsushima, Takahiro

On the stable reduction of \(X_0 (5^4)\) and \(X_0 (7^4)\). (English) Zbl 1268.14022

RIMS Kôkyûroku Bessatsu B32, 205-228 (2012).

Reviewer: Aristides Kontogeorgis (Panepistimiopolis)

MSC: 14G22 11G20 14G35

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McMurdy, Ken; Coleman, Robert

[Howe, Everett W.]

Stable reduction of \(X_0(p^3)\). With an Appendix by Everett W. Howe. (English) Zbl 1215.11060

Algebra Number Theory 4, No. 4, 357-431 (2010).

Reviewer: Elmar Große-Klönne (Berlin)

MSC: 11G18 14G22 11G07 14G35 14H25

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McMurdy, Ken

Stable reduction of \(X_0(81)\). (English) Zbl 1161.11015

Lauter, Kristin E. (ed.) et al., Computational arithmetic geometry. AMS special session, San Francisco, CA, USA, April 29–30, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4320-8/pbk). Contemporary Mathematics 463, 91-109 (2008).

Reviewer: Ulrich Görtz (Bonn)

MSC: 11G18 11G07 11G20 14G22

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Conrad, Brian

Arithmetic moduli of generalized elliptic curves. (English) Zbl 1140.14018

J. Inst. Math. Jussieu 6, No. 2, 209-278 (2007).

Reviewer: Werner Kleinert (Berlin)

MSC: 14G22 14H52 11G05 11G18 14H10 14A20 11F11 11F25

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Coleman, Robert; McMurdy, Ken

Fake CM and the stable model of \(X_ 0(Np^ 3)\). (English) Zbl 1155.11030

Doc. Math. Extra Vol., John H. Coates’ Sixtieth Birthday, 261-300 (2006).

Reviewer: Oliver Petras (Bonn)

MSC: 11G18 14G22 11G07

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Conrad, Brian

Modular curves and rigid-analytic spaces. (English) Zbl 1156.14312

Pure Appl. Math. Q. 2, No. 1, 29-110 (2006).

MSC: 14G22 14H52 11G18

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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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Papikian, Mihran

On component groups of Jacobians of Drinfeld modular curves. (English) Zbl 1071.11034

Ann. Inst. Fourier 54, No. 7, 2163-2199 (2004).

Reviewer: Ernst-Ulrich Gekeler (Saarbrücken)

MSC: 11G18 11G10 11G09 14G22

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Full Text: DOI Numdam Numdam EuDML

Buzzard, Kevin; Taylor, Richard

Companion forms and weight one forms. (English) Zbl 0965.11019

Ann. Math. (2) 149, No. 3, 905-919 (1999).

Reviewer: Chandrashekhar B.Khare (Mumbai)

MSC: 11F33 11F11 11F80

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van der Put, Marius; Top, Jaap

Analytic compactification and modular forms. (English) Zbl 0951.11018

Gekeler, E.-U. (ed.) et al., Proceedings of the workshop on Drinfeld modules, modular schemes and applications, Alden-Biesen, Belgium, September 9-14, 1996. Singapore: World Scientific. 113-140 (1997).

Reviewer: D.Goss (Columbus/Ohio)

MSC: 11F52 11G09 14H15

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Boutot, Jean-François

\(p\)-adic uniformization of Shimura varieties. (Uniformisation \(p\)-adique des variétés de Shimura.) (French) Zbl 0932.14013

Séminaire Bourbaki. Volume 1996/97. Exposés 820–834. Paris: Société Mathématique de France, Astérisque. 245, 307-322, Exp. No. 831 (1997).

Reviewer: E.Z.Goren (Montreal)

MSC: 14G35 14G22 11G18 14L05

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Boutot, J.-F.; Carayol, H.

\(p\)-adic uniformization of Shimura curves: the theorems of Cherednik and Drinfeld. (Uniformisation \(p\)-adique des courbes de Shimura: Les théorèmes de Čerednik et de Drinfeld.) (French) Zbl 0781.14010

Courbes modulaires et courbes de Shimura, C. R. Sémin., Orsay/Fr. 1987-88, Astérisque 196-197, 45-158 (1991).

Reviewer: Frank Herrlich (Karlsruhe)

MSC: 14G20 14G35 11G09 14H25 14L05

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Backlinks: MO

Teitelbaum, Jeremy T.

Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel. (English) Zbl 0731.11065

Invent. Math. 101, No. 2, 395-410 (1990).

Reviewer: Pilar Bayer (Barcelona)

MSC: 11S40 11F67 11F85 14G20

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Radtke, Wolfgang

Diskontinuierliche arithmetische Gruppen im Funktionenkörperfall. (English) Zbl 0572.14017

Abteilung Mathematik der Ruhr-Universität Bochum. 90 S. (1984).

Reviewer: M.van der Put

MSC: 14H25 11F06 14G15 20H10 30F40 14H05 14L30

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Found 23 Documents (Results 1–23)

Real quadratic singular moduli and \(p\)-adic families of modular forms. (English) Zbl 07919518

A note on special fibers of Shimura curves and special representations. (English) Zbl 1443.11095

Mumford curves covering \(p\)-adic Shimura curves and their fundamental domains. (English) Zbl 1468.11139

Congruence formulas for Legendre modular polynomials. (English) Zbl 1428.14039

Optimal quotients of Jacobians with toric reduction and component groups. (English) Zbl 1410.11073

Stable reduction of \(X_{0}(p^{4})\). (English) Zbl 1411.14025

A combinatorial Li-Yau inequality and rational points on curves. (English) Zbl 1341.11034

Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. (English) Zbl 1281.14002

\(p\)-adic Hurwitz groups. (English) Zbl 1298.14027

On the stable reduction of \(X_0 (5^4)\) and \(X_0 (7^4)\). (English) Zbl 1268.14022

Stable reduction of \(X_0(p^3)\). With an Appendix by Everett W. Howe. (English) Zbl 1215.11060

Stable reduction of \(X_0(81)\). (English) Zbl 1161.11015

Arithmetic moduli of generalized elliptic curves. (English) Zbl 1140.14018

Fake CM and the stable model of \(X_ 0(Np^ 3)\). (English) Zbl 1155.11030

Modular curves and rigid-analytic spaces. (English) Zbl 1156.14312

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

On component groups of Jacobians of Drinfeld modular curves. (English) Zbl 1071.11034

Companion forms and weight one forms. (English) Zbl 0965.11019

Analytic compactification and modular forms. (English) Zbl 0951.11018

\(p\)-adic uniformization of Shimura varieties. (Uniformisation \(p\)-adique des variétés de Shimura.) (French) Zbl 0932.14013

\(p\)-adic uniformization of Shimura curves: the theorems of Cherednik and Drinfeld. (Uniformisation \(p\)-adique des courbes de Shimura: Les théorèmes de Čerednik et de Drinfeld.) (French) Zbl 0781.14010

Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel. (English) Zbl 0731.11065

Diskontinuierliche arithmetische Gruppen im Funktionenkörperfall. (English) Zbl 0572.14017

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