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The Computational and Theoretical Aspects of Elliptic Curves

  • Zhibin Liang
  • Chandrakant Aribam
Conference proceedings

Part of the Mathematical Lectures from Peking University book series (MLPKU)

Table of contents

About these proceedings

Introduction

This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic. It provides an overview of the conjecture and a few special cases where the conjecture is proved. The broad theme of the two conferences was “Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture”. The first was held at Beijing International Centre for Mathematical Research (BICMR) in December 2014 and the second was held at the International Centre for Theoretical Sciences (ICTS), Bangalore, India in December 2016. Providing a broad overview of the subject, the book is a valuable resource for young researchers wishing to work in this area. The articles have an extensive list of references to enable diligent researchers to gain an idea of the current state of art on this conjecture.

Keywords

ELLIPTIC CURVES Birch and Swinnerton-Dyer conjecture generic Sturm sequence subresultant sequence Sylvester resultant Weil restriction GLV method Tame kernels Quaternion group

Editors and affiliations

  • Zhibin Liang
    • 1
  • Chandrakant Aribam
    • 2
  1. 1.Capital Normal UniversityBeijingChina
  2. 2.Department of Mathematical SciencesIndian Institute of Science Education and Research MohaliSahibzada Ajit Singh NagarIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-6664-2
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-13-6663-5
  • Online ISBN 978-981-13-6664-2
  • Series Print ISSN 2197-4209
  • Series Online ISSN 2197-4217
  • Buy this book on publisher's site