Arithmetic Geometry, Number Theory, and Computation

Arithmetic Geometry, Number Theory, and Computation

Sutherland, Andrew V.; Hassett, Brendan; Poonen, Bjorn; Balakrishnan, Jennifer S.; Voight, John; Elkies, Noam

Springer Nature Switzerland AG

03/2022

587

Dura

Inglês

9783030809133

15 a 20 dias

1057

Descrição não disponível.
A robust implementation for solving the S-unit equation and several application (C. Rasmussen).- Computing classical modular forms for arbitrary congruence subgroups (E. Assaf).- Square root time Coleman integration on superelliptic curves (A. Best).- Computing classical modular forms ( A. Sutherland).- Elliptic curves with good reduction outside of the first six primes (B. Matschke).- Efficient computation of BSD invariants in genus 2 (R. van Bommel).- Restrictions on Weil polynomials of Jacobians of hyperelliptic curves (E. Costa).- Zen and the art of database maintenance (D. Roe).- Effective obstructions to lifting Tate classes from positive characteristic (E. Costa).- Conjecture: 100% of elliptic surfaces over Q have rank zero (A. Cowan).- On rational Bianchi newforms and abelian surfaces with quaternionic multiplication (J. Voight).- A database of Hilbert modular forms (J. Voight).- Isogeny classes of Abelian Varieties over Finite Fields in the LMFDB (D. Roe).- Computing rational points on genus 3 hyperelliptic curves (S. Hashimoto).- Curves with sharp Chabauty-Coleman bound (S. Gajovic).- Chabauty-Coleman computations on rank 1 Picard curves (S. Hashimoto).- Linear dependence among Hecke eigenvalues (D. Kim).- Congruent number triangles with the same hypotenuse (D. Lowry-Duda).- Visualizing modular forms (D. Lowry-Duda).- A Prym variety with everywhere good reduction over Q(? 61) ( J. Voight).- The S-integral points on the projective line minus three points via etale covers and Skolem's method (B. Poonen).
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
elliptic curves;subgroups;zeta functions;Hecke operators;Birch-Swinnerton-Dyer conjecture;Jacobians;Hilbert modular forms;Weil polynomials;Galois groups;hypersymmetric Abelian varieties;Chabauty-Coleman method