Description 
1 online resource 
Series 
Simons Symposia, 23659572 

Simons symposia, 23659572

Contents 
A robust implementation for solving the Sunit 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 ChabautyColeman bound (S. Gajovic)  ChabautyColeman computations on rank 1 Picard curves (S. Hashimoto)  Linear dependence among Hecke eigenvalues (D. Kim)  Congruent number triangles with the same hypotenuse (D. LowryDuda)  Visualizing modular forms (D. LowryDuda)  A Prym variety with everywhere good reduction over Q( 61) ( J. Voight)  The Sintegral points on the projective line minus three points via etale covers and Skolem's method (B. Poonen) 
Summary 
This volume contains articles related to the work of the Simons Collaboration "Arithmetic Geometry, Number Theory, and Computation." The papers present mathematical results and algorithms necessary for the development of largescale databases like the Lfunctions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research. Specific topics include algebraic varieties over finite fields the ChabautyColeman method modular forms rational points on curves of small genus Sunit equations and integral points 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed March 30, 2022) 
Subject 
Arithmetical algebraic geometry.


Number theory.


Geometry, Algebraic.


Electronic Data Processing


Geometry, Algebraic.


Arithmetical algebraic geometry.


Number theory.

Form 
Electronic book

Author 
Balakrishnan, Jennifer S. editor


Elkies, Noam, editor


Hassett, Brendan, editor.


Poonen, Bjorn, editor.


Sutherland, Andrew V. editor


Voight, John (Mathematician), editor.

ISBN 
9783030809140 

3030809145 

9783030809157 

3030809153 

9783030809164 

3030809161 
