Advertisement

Elliptic Curves over Complete Fields

Chapter
  • 4.9k Downloads
Part of the Graduate Texts in Mathematics book series (GTM, volume 151)

Abstract

Every elliptic curve E/ℂ admits an isomorphism ℂ*/qE(ℂ) by complex analytic functions, and we have seen amply demonstrated in Chapter s I and II the importance of such uniformizations. In this chapter we are going to study uniformizations over other complete fields such as ℝ and finite extensions K/ℚ p . We begin in §1 with a brief review of the relevant formulas over ℂ, and then in §2 we use the complex uniformization to investigate elliptic curves over ℝ.

Keywords

Power Series Exact Sequence Elliptic Curve Elliptic Curf Formal Power Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  1. 1.Mathematics DepartmentBrown UniversityProvidenceUSA

Personalised recommendations