Local-global aspects of (hyper)elliptic curves over (in)finite fields

Joseph H. Silverman

doi:10.3934/amc.2010.4.101

Article Contents

2010, Volume 4, Issue 2: 101-114. Doi: 10.3934/amc.2010.4.101

This issue Previous Article Editorial Next Article Optimization of the arithmetic of the ideal class group for genus 4 hyperelliptic curves over projective coordinates

Local-global aspects of (hyper)elliptic curves over (in)finite fields

Joseph H. Silverman^1,

1.
Mathematics Department, Box 1917, Brown University, Providence, RI 02912

Received: April 30, 2009

Revised: June 30, 2009

Published: April 2010

Abstract Related Papers Cited by

Abstract

We survey the interaction between local and global theory for studying the arithmetic properties of curves, jacobians, and abelian varieties.

Keywords:

Mathematics Subject Classification: Primary: 11G05; Secondary: 11G35.

Citation:

Article Metrics

HTML views() PDF downloads(90) Cited by(0)

Local-global aspects of (hyper)elliptic curves over (in)finite fields

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Local-global aspects of (hyper)elliptic curves over (in)finite fields

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content