Tag: algebraic-curves

38 Uniformization over finite fields? 2017-05-09T19:51:47.160

32 Curves which are not covers of P^1 with four branch points 2011-08-02T16:59:38.570

32 Polynomials with the same values set on the unit circle 2016-01-23T23:58:57.033

29 Which 'well-known' algebraic geometric results do not hold in characteristic 2? 2011-07-06T12:42:04.690

28 Mumford conjecture: Heuristic reasons? Generalizations? ... Algebraic geometry approaches? 2010-01-10T08:44:02.710

28 The work of E. Artin and F. K. Schmidt on (what are now called) the Weil conjectures. 2010-02-08T09:38:03.330

27 Do all curves have NĂ©ron models 2012-10-22T19:38:57.940

25 Links between Riemann surfaces and algebraic geometry 2009-10-26T22:56:12.343

24 Is every curve birational to a smooth affine plane curve? 2009-12-24T03:40:09.390

20 A historical question: Hurwitz, Luroth, Clebsch, and the connectedness of $\mathcal{M}_g$ 2010-03-10T04:57:43.653

19 Does there exist a curve of degree 11 having 15 triple points? 2012-05-30T23:43:58.233

18 A good example of a curve for geometric Langlands 2009-12-16T11:49:50.607

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

18 Does every hyperbolic curve over a finite field have an etale cover with a real Frobenius eigenvalue? 2010-04-27T03:21:37.310

18 Do mapping classes have gonality? 2011-07-26T02:50:02.440

18 Tame morphism from a curve to $\mathbb{P}^1$ 2013-04-15T14:02:53.003

18 Putting algebraic curves in $\mathbb{R}^3$ 2017-01-13T17:15:50.137

17 Does the moduli space of genus three curves contain a complete genus two curve 2012-11-05T13:41:55.197

17 History of the connection between Riemann surfaces and complex algebraic curves 2014-07-23T11:26:14.977

16 Riemann surfaces: explicit algebraic equations 2009-12-06T11:07:16.790

16 New(?) reciprocity law 2014-07-09T11:34:08.433

16 D-modules over algebraic curves VS differential Galois theory 2016-11-23T13:38:48.923

15 When does the Torelli Theorem hold? 2010-05-07T11:52:34.840

15 Rigorous version of heuristic argument for genus-degree formula? 2014-06-05T21:36:38.330

15 Degrees of maps from curves to $\mathbb P^1$ 2014-07-07T17:25:36.570

15 Modular forms from counting points on algebraic varieties over a finite field 2017-01-21T11:22:01.970

15 Do $\mathbb{A}^1-S$ and $\mathbb{A}^1-\{0,1\}$ have a finite etale cover in common? 2018-01-05T17:59:47.557

14 Are curves with `fractional points' uniquely determined by their residual gerbes? 2009-10-20T18:23:20.987

14 Curves with negative self intersection in the product of two curves 2009-10-23T20:45:13.230

14 What is the minimal degree of a smooth projective embedding of a hyperelliptic curve? 2011-05-02T21:53:15.680

14 Injective morphism from curves to $\mathbb CP^2$ 2013-02-22T17:29:10.437

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

14 Why is the section conjecture important? 2014-08-29T14:05:01.627

13 Is the Torelli map an immersion? 2009-12-15T02:08:17.707

13 What is the Euler characteristic of a Hilbert scheme of points of a singular algebraic curve? 2010-01-17T03:13:26.067

13 Vector bundles on $\mathbb{P}^1\times\mathbb{P}^1$ 2010-04-19T16:27:48.777

13 Why is a general curve automorphism-free? 2011-02-10T06:27:45.870

13 Arithmetic and moduli spaces of higher genus curves 2011-08-15T20:40:44.860

13 Curves which do not dominate other curves 2013-07-29T16:51:29.270

13 Original reference for Riemann's inequality 2016-08-15T11:48:18.093

12 Realizing D_8 as a Galois group over C(x) with prescribed decomposition groups 2010-08-08T20:21:18.857

12 Non-dominant polynomial maps in the plane 2010-10-27T07:27:53.557

12 Can a curve intersect a given curve only at given points? 2010-11-30T11:21:54.417

12 Construction of the determinant line bundle on the degree $g-1$ Picard variety 2011-03-17T01:47:06.677

12 Image of projective 1-space contained in projective 1-space over a smaller field? 2011-06-08T20:14:07.683

12 Why does the parameterization (F:F':1) happen? 2011-06-14T14:09:10.603

12 Which curves have stable Faltings height greater or equal to 1 2011-08-13T10:56:18.493

12 Picard group of a singular projective curve 2012-07-17T00:07:39.613

12 what is the maximum number of rational points of a curve of genus 2 over the rationals 2012-07-27T16:32:14.273

12 What does the Jacobian of a curve tell us about the curve? 2013-08-10T23:08:31.940

12 Permuting collinear points on a curve 2013-11-15T00:40:13.070

12 Is a one-dimensional compact complex analytic space necessarily projective? 2016-07-24T10:47:45.000

11 Gromov-Witten theory and compactifications of the moduli of curves 2009-10-19T23:46:34.877

11 Extra automorphisms of curves and definability over \bar Q 2010-04-29T03:21:48.220

11 Can a rational family of genus-g curves have generic gonality? Can it be Brill-Noether general? 2011-02-06T18:37:04.960

11 Families of curves for which the Belyi degree can be easily bounded 2011-06-19T14:54:00.147

11 A curve with bad reduction for which the jacobian has good reduction 2012-03-22T13:08:46.140

11 Rank two vector bundles on a curve of genus two 2012-08-08T03:50:49.843

11 Complex curves covered by smooth plane curves 2013-01-06T21:17:52.373

11 what is the cyclic cover trick? 2013-06-19T12:33:01.870

11 Totally real points on curves 2014-03-11T17:40:41.210

11 What is the lowest-weight non-cyclotomic Galois representation in $\overline{\mathcal M}_{g,n}$? 2014-07-12T22:43:35.487

11 Automorphisms of cartesian products of curves 2016-02-28T20:20:06.120

10 Ribbon graph decomposition of the moduli space of curves 2009-10-08T01:38:28.497

10 a question on function fields 2009-11-04T16:23:42.103

10 Riccati differential equation and descent 2010-09-30T14:49:17.067

10 Where is the representability of the moduli of curves with framed points proved? 2012-01-10T14:26:51.707

10 "Arithmetic genus" of a plane curve singularity. 2013-02-23T14:34:25.283

10 Proving that a generic variety with ample canonical bundle has no automorphisms 2013-05-12T07:46:33.380

10 Quotient of a smooth curve by a finite group and differentials 2015-12-23T21:40:16.050

10 Is Proposition 2.6 in J. Silverman's book Arithmetic of Elliptic Curves correct? 2016-08-07T11:09:56.730

10 On tangent space to the fundamental group scheme 2017-06-21T22:23:00.283

10 Hitchin fibration and Springer resolution 2017-07-30T05:41:08.077

9 Moduli spaces of complex curves as algebraic varieties 2009-10-20T21:11:42.490

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

9 Function fields of characteristic p modular curves, and mod p reductions of the classical modular equation 2011-10-13T23:02:28.490

9 Is there an algorithm which determines if a curve has good reduction outside a given set of primes 2012-01-08T13:35:28.580

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

9 A question on deformations of Theta divisor in the Jacobian of a complex curve 2012-04-26T19:14:49.163

9 Extending birational isomorphisms between planar curves to the P^2 2012-05-06T21:27:49.140

9 Injective morphism from an elliptic curve to $\mathbb CP^2$. 2013-02-27T16:32:42.633

9 Effectiveness of the distinguished theta characteristic in characteristic 2 2013-08-18T05:27:30.567

9 Minimal number of intersection of curves in $\mathbb P^2$ 2014-02-10T10:33:58.930

9 Showing that $2c_1(f_*\mathscr O_X)=-f_*R_f$ on curves, maybe by local fields 2014-02-27T16:08:12.120

9 Is there a non-abelian version of the Torelli map? 2014-11-01T17:55:49.257

9 Rationality of moduli spaces of rational curves 2014-12-04T14:57:42.720

9 Does a semistable curve descend to a regular base? 2015-01-25T23:45:49.003

9 Sum of consecutive cubes 2015-03-07T03:54:19.923

9 The class of the diagonal in the symmetric product of a smooth curve 2016-03-30T09:33:56.597

9 Klein's curve (algebraic geometry) 2016-10-10T02:51:28.093

9 How can I calculate the period matrix of this Riemann surface? 2017-07-27T19:00:30.730

9 How to compute cohomology using differentials of the second kind on a Fermat curve? 2017-11-13T18:56:12.703

8 What is an Oper? 2009-10-25T19:39:51.050

8 Reference request: Moduli spaces of bundles over singular curves 2010-04-08T08:26:29.283

8 Kodaira-Spencer map in a concrete instance 2010-04-23T12:59:28.983

8 Does there exist a family of curves (or abelian varieties) on the punctured line with specified monodromy on H^1? 2011-02-28T08:24:08.410

8 What is the advantage of the approach of valuations to the Riemann-Roch Theorem for curves (a la Chevalley)? AKA theory of algebraic functions in one variable 2012-01-21T01:01:52.487

8 Quadratic reciprocity and Weil reciprocity theorem 2012-06-07T11:14:24.607

8 Elementary proof of the Hurwitz formula 2012-07-30T11:31:33.157