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Original Articles

Explicit Determination of the Images of the Galois Representations Attached to Abelian Surfaces with End(A) = Z

Pages 503-512 | Published online: 03 Apr 2012

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Quinn Greicius & Aaron Landesman. (2022) An Explicit Abelian Surface with Maximal Galois Action. Experimental Mathematics 31:2, pages 689-693.
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John Cullinan. (2019) On the Jacobians of Curves Defined by the Generalized Laguerre Polynomials. Experimental Mathematics 28:2, pages 223-232.
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Articles from other publishers (18)

Chun Yin Hui. (2023) Monodromy of four‐dimensional irreducible compatible systems of Q$\mathbb {Q}$. Bulletin of the London Mathematical Society 55:4, pages 1773-1790.
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Samir Siksek. (2022) Integral points on punctured abelian varieties. European Journal of Mathematics 8:S2, pages 687-703.
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Ariel Weiss. (2022) On the images of Galois representations attached to low weight Siegel modular forms. Journal of the London Mathematical Society 106:1, pages 358-387.
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Timo Keller & Michael Stoll. (2022) Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces. Comptes Rendus. Mathématique 360:G5, pages 483-489.
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Barinder S. Banwait. (2021) Examples of abelian surfaces failing the local–global principle for isogenies. Research in Number Theory 7:3.
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Samuele Anni & Vladimir Dokchitser. (2019) Constructing hyperelliptic curves with surjective Galois representations. Transactions of the American Mathematical Society 373:2, pages 1477-1500.
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Aaron Landesman, Ashvin Swaminathan, James Tao & Yujie Xu. (2019) Surjectivity of Galois representations in rational families of abelian varieties. Algebra & Number Theory 13:5, pages 995-1038.
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Victoria Cantoral‐Farfán, Yunqing Tang, Sho Tanimoto & Erik Visse. (2018) Effective bounds for Brauer groups of Kummer surfaces over number fields. Journal of the London Mathematical Society 97:3, pages 353-376.
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Samuele Anni, Pedro Lemos & Samir Siksek. (2016) Residual representations of semistable principally polarized abelian varieties. Research in Number Theory 2:1.
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Davide Lombardo. (2016) Explicit surjectivity of Galois representations for abelian surfaces and GL2-varieties. Journal of Algebra 460, pages 26-59.
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Alina Carmen Cojocaru, Rachel Davis, Alice Silverberg & Katherine E. Stange. (2016) Arithmetic Properties of the Frobenius Traces Defined by a Rational Abelian Variety (with two appendices by J-P. Serre). International Mathematics Research Notices, pages rnw058.
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Sara Arias-de-Reyna, Cécile Armana, Valentijn Karemaker, Marusia Rebolledo, Lara Thomas & Núria Vila. 2015. Women in Numbers Europe. Women in Numbers Europe 191 205 .
S. Arias-de-Reyna & N. Vila. (2010) Tame Galois Realizations of over. International Mathematics Research Notices.
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M.G. Upton. (2009) Galois representations attached to Picard curves. Journal of Algebra 322:4, pages 1038-1059.
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Luis Dieulefait & Núria Vila. (2007) Geometric families of 4-dimensional Galois representations with generically large images. Mathematische Zeitschrift 259:4, pages 879-893.
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Takuya Yamauchi. (2007) An observation on the cyclicity of the group of the $$\mathbb{F}_p $$ -rational points of Abelian surfaces-rational points of Abelian surfaces. Japan Journal of Industrial and Applied Mathematics 24:3.
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Núria Vila. 2004. Algebra, Arithmetic and Geometry with Applications. Algebra, Arithmetic and Geometry with Applications 775 782 .
Luis V. Dieulefait. (2002) On the images of the Galois representations attached to genus 2 Siegel modular forms. Journal für die reine und angewandte Mathematik (Crelles Journal) 2002:553.
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