30 Why no abelian varieties over Z? 2010-01-05T22:59:34.470

28 Fontaine-Mazur for GL_1 2010-07-25T11:17:29.433

27 In which ways can the isogeny theorem fail for local fields? 2011-01-24T00:26:02.947

26 Over which fields does the Mordell-Weil theorem hold? 2012-10-01T13:01:11.950

25 Modern proof of Serre's open image theorem? 2012-09-26T15:02:32.520

24 Products of primitive roots of the unity 2013-07-04T14:39:32.490

23 Why do people think that abelian varieties are the hardest case for the Hodge conjecture? 2010-03-03T22:36:37.627

23 Is every abelian variety a subvariety of a Jacobian? 2018-07-05T11:30:37.020

22 Why polarization of abelian varieties? 2014-07-27T21:59:53.850

22 When is "independence of l" known? 2014-12-29T16:28:29.663

22 Is hyperelliptic cryptography "practical"? 2016-02-01T17:51:53.937

19 Are there Néron models over higher dimensional base schemes? 2010-01-25T11:17:05.137

18 Which curves can be found on Abelian varieties ? 2010-04-15T09:56:36.730

18 Torsion points of abelian varieties in the perfect closure of a function field 2011-08-27T20:56:01.353

17 Are Jacobians principally polarized over non-algebraically closed fields? 2009-12-01T21:00:37.367

17 Crystalline cohomology of abelian varieties 2010-04-05T11:48:26.797

17 Bhargava's work on the BSD conjecture 2018-03-13T22:54:53.353

16 Do all simple factors of jacobians of curves come from correspondences? 2015-10-19T22:30:27.933

16 On Tate's "Endomorphisms of Abelian Varieties over Finite Fields", sketch of proof of main result? 2016-11-12T23:37:55.230

15 Can we count isogeny classes of abelian varieties? 2009-11-07T07:21:50.657

15 non principally polarized complex abelian varieties 2010-03-03T18:53:56.120

15 Etale endomorphisms of abelian varieties in positive characteristic 2011-08-22T12:07:56.713

15 Elements of arbitrary large order in the first Galois cohomology of an elliptic curve 2016-05-21T15:29:04.523

14 Examples of rational families of abelian varieties. 2009-10-16T20:14:06.453

14 Characterizations of Abelian varieties (3-folds) in positive characteristic 2011-07-29T00:42:12.010

14 Status of Grothendieck's conjecture on homomorphisms of abelian schemes 2013-03-01T10:38:38.967

14 Infinitely many curves with isogenous Jacobians 2013-05-06T13:20:08.293

14 Counting abelian varieties over finite fields in a given isogeny class 2015-09-11T21:15:10.183

14 Albanese variety over non-perfect fields 2017-01-31T06:43:14.350

13 Lifting abelian varieties in (the closed fiber of) a fixed Neron model 2010-03-19T16:00:02.200

13 Torsion points in Abelian varieties over number fields 2011-02-19T03:50:45.017

13 Does every Abelian variety have a finite resolution by Jacobians? 2012-02-12T17:22:25.653

13 Katz--Mazur for abelian varieties 2013-12-28T19:48:13.267

13 Why study CM abelian varieties? 2014-01-21T11:29:18.360

13 Am I missing something about this notion of Mirror Symmetry for abelian varieties? 2014-12-01T12:48:26.960

13 Zeta function of Abelian variety over finite field 2017-09-29T10:12:37.070

12 "Albanese" schemes: When does an "initial abelian scheme" exist under a given scheme? 2009-10-26T01:17:13.010

12 When is an Albanese variety principally polarized? 2009-12-01T00:48:46.893

12 Complex torus, C^n/Λ versus (C*)^n 2010-04-06T16:01:25.190

12 isomorphism of abelian varieties 2010-04-08T21:56:00.717

12 Why were Abelian functions so important in the 19th century? 2010-05-31T09:56:28.813

12 Characterizations of complex Abelian varieties (especially 3-folds) among projective nonsingular varieties? 2010-08-08T05:20:40.253

12 Quotient of abelian variety by an abelian subvariety 2010-09-02T20:26:19.233

12 Generalizations of Belyi's theorem 2010-11-16T16:58:05.520

12 The torsion point count in higher dimension 2013-02-08T14:33:43.210

12 A frustrating cohomology class on the moduli of abelian surfaces 2013-08-30T07:46:39.750

12 Lifting Abelian Varieties to p-adic fields 2014-04-17T20:52:56.227

12 The Tate conjecture for abelian varieties 2014-04-30T16:32:13.983

12 Faltings height in short exact sequences 2014-11-01T03:28:20.597

12 Zariski vs etale torsors over abelian varieties 2016-12-23T15:33:21.310

12 Geometry underlying a comparison of Dieudonné theories 2017-02-10T00:36:40.047

12 What is known about abelian varieties with several principal polarizations? 2018-07-26T01:53:03.783

12 Is the complement of an affine open in an abelian variety ample? 2018-10-31T21:18:54.923

11 What classes am I missing in the Picard lattice of a Kummer K3 surface? 2010-02-16T18:52:57.660

11 Galois action on one-dimensional quotients of l-adic cohomology 2011-01-29T03:53:27.113

11 Is an abelian variety with a Galois invariant, rank one submodule of its Tate module, CM? 2011-02-16T21:30:30.740

11 Proofs of Mordell-Weil theorem 2011-08-07T15:08:52.660

11 What is the Brauer group of the moduli space of (p.p.) abelian varieties? 2012-09-27T05:23:48.297

11 Average ranks of abelian surfaces 2013-02-05T23:38:38.497

11 Purity for abelian schemes up to $p$-isogenies 2013-10-21T15:40:26.357

11 Can an abelian variety/Q have no non-trivial points over Q_sol? 2015-03-01T00:28:19.347

11 Are Hecke eigenvalues on the cohomology of the Newton polygon strata automorphic? 2015-10-31T20:44:51.613

11 Singular curve on an abelian surface 2016-06-16T17:39:21.600

11 Abelian variety with prescribed endomorphism ring 2016-08-11T15:05:32.360

11 When $k = \mathbb{F}_q$ finite field, $X$ always has $k$-rational point, and so $A \simeq X$? 2016-10-04T16:10:31.357

11 Points of abelian varieties over purely transcendental extensions 2018-02-20T14:20:25.097

11 An example of curves with the same Jacobian, but different Jacobian automorphism groups (wrt their respective canonical principal polarizations)? 2018-06-27T20:59:56.453

10 Torsion of an abelian variety under reduction. 2010-01-02T03:08:01.643

10 Failure of Theorem of the Cube? 2010-12-05T23:34:22.677

10 Why can projective varieties just have abelian group operations? 2011-03-21T13:04:24.853

10 Mod m versions of the toric part of Tate modules 2011-05-16T13:36:54.747

10 About the Bloch conjecture on entire curves 2012-10-24T16:21:54.417

10 What are some consequences of the Mumford-Tate conjecture? 2012-11-19T18:42:58.207

10 Are automorphisms of abelian varieties detected by the formal group? 2014-01-03T16:27:35.780

10 On a proposition in Hartshorne's paper "Ample vector bundles on curves" 2014-11-14T14:09:27.313

10 What can we say about tropical maps $\mathbb{P}^1 \to A$ for an Abelian variety $A$? 2015-10-05T11:11:44.293

10 Does every Shimura variety contain a generic point defined over a number field? 2016-08-12T18:09:00.803

10 Surfaces with $q=2$ and generically finite Albanese map 2016-08-22T13:36:55.117

10 How to compute the formal group law of a Shimura variety (using its invariant differentials)? 2016-11-01T03:40:21.840

10 Orders of reductions of rational points on elliptic curves 2017-11-13T06:41:39.617

10 $K_0$-equivalence of varieties 2017-11-22T19:31:53.607

10 What are the possible bad reductions for an abelian variety of dimension $g$ and a maximal endomorphism ring? 2018-07-02T19:13:57.220

9 Is there any rational curve on an Abelian variety? 2009-12-16T03:32:00.290

9 Algebraic cycles of dimension 2 on the square of a generic abelian surface 2010-04-06T16:34:37.853

9 Galois orbits of newforms with prime power level 2010-05-16T19:57:03.317

9 Can we always find a curve which doesn't have semi-stable reduction 2011-10-12T21:35:29.377

9 finiteness of torsion points of an abelian variety over a totally real field？ 2011-11-26T23:46:06.740

9 Schottky locus in genus 2 2012-01-24T17:24:57.177

9 Obstructions to deforming an abelian variety 2012-06-15T02:32:15.683

9 Modularity of higher dimensional abelian varieties 2012-10-04T19:03:53.503

9 What is the structure of the group of rational points of an abelian variety over a Laurent series field? 2013-11-11T03:05:48.213

9 Motives over finite field not generated by hyperelliptic curves 2014-05-12T20:00:48.083

9 Is the compositum of all quadratic extensions of the rationals an ample field? 2015-08-03T09:53:09.990

9 Does bounded-degree base extension yield Zariski-dense Mordell-Weil group? 2015-09-03T17:18:19.923

9 Pull-back of an irreducible ample divisor via an isogeny of abelian varieties 2017-06-14T15:37:58.580

9 Geometry of Albanese image 2017-09-06T16:29:46.833

9 Endomorphism ring of simple ordinary abelian variety 2018-04-11T15:01:01.767

9 Do abelian varieties have Neron models over arbitrary valuation rings? 2018-08-05T17:39:49.297

8 Is there an intrinsic way to define the group law on Abelian varieties? 2010-05-19T18:14:05.163