Title: Morita conjecture on projective integral models of Shimura varieties of Hodge type Abstract: Let A be an abelian variety over a number field. Let G be the Mumford–Tate group of some extension AC of A to the fiel

Source URL: www.math.columbia.edu

Abelian Varieties J. S. Milne August 6, 2012 Abstract This the original TEX file for my article Abelian Varieties, published as Chapter

Source URL: jmilne.org

ECCEfficient and Generalized Pairing Computation on Abelian Varieties Hyang-Sook Lee Ewha Womans University

Source URL: www.hyperelliptic.org

• Pairing-based cryptography
• Elliptic curve cryptography
• Elliptic curves
• Linear algebra
• Module theory
• Pairing
• Tate pairing
• Divisor
• Elliptic curve
• Weil pairing

Constructing abelian varieties for cryptographic use Peter Stevenhagen ECC, Utrecht September 22, 2008

Source URL: www.hyperelliptic.org

• Abstract algebra
• Algebra
• Cryptography
• Elliptic curves
• Elliptic curve cryptography
• Group theory
• Finite fields
• Public-key cryptography
• Elliptic curve
• Abelian variety
• Complex multiplication
• Index calculus algorithm

Explicit Algorithms for Humbert Surfaces David Gruenewald A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2008

Source URL: echidna.maths.usyd.edu.au

• Abelian varieties
• Algebraic surfaces
• Analytic number theory
• Algebraic curves
• Bernhard Riemann
• Humbert surface
• Modular form
• Elliptic curve
• Complex multiplication
• Shimura variety
• AppellHumbert theorem
• Abelian surface

Chapter XII. The endomorphism ring. § 1. First basic results about the endomorphism algebra. Let X and Y be abelian varieties over a field k. If f and g are homomorphisms from X to Y

Source URL: www.math.ru.nl

R. van Bommel Almost all hyperelliptic Jacobians have a bad semi-abelian prime Master’s thesis, 23 June 2014 Supervisor: dr. D. Holmes

Source URL: algant.eu

• Abstract algebra
• Algebraic geometry
• Algebra
• Elliptic curves
• Diophantine geometry
• Abelian varieties
• Semistable abelian variety
• Algebraic curves
• Lenstra elliptic curve factorization
• Hyperelliptic curve cryptography

Chapter II. Line bundles and divisors on abelian varieties. In this chapter we study divisors on abelian varieties. One of the main goals is to prove that abelian varieties are projective. The Theorem of the Square (2.9

Source URL: www.math.ru.nl

Gerard van der Geer Ben Moonen ABELIAN VARIETIES (PRELIMINARY VERSION OF THE FIRST CHAPTERS)

Source URL: www.math.ru.nl

ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION TREVOR ARNOLD As a prelude to the general theory of complex multiplication of abelian varieties, we discuss the arithmetic of elliptic curves with complex multiplication (CM).

Source URL: ms.mcmaster.ca