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

EXPLICIT CM-THEORY FOR LEVEL 2-STRUCTURES ON ABELIAN SURFACES ¨ REINIER BROKER, DAVID GRUENEWALD, AND KRISTIN LAUTER Abstract. For a complex abelian surface A with endomorphism ring isomorphic to

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

• Abstract algebra
• Algebra
• Ring theory
• Field theory
• Algebraic number theory
• Niels Henrik Abel
• Analytic number theory
• Abelian variety
• Complex multiplication
• Valuation
• Elliptic curve
• Sheaf

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 X. Tate modules, p-divisible groups, and the fundamental group. If X is an abelian variety over the complex numbers, the associated analytic manifold can be described as a complex torus V /Λ, with V a C-vector

Source URL: www.math.ru.nl

Chapter XIII. The Fourier transform and the Chow ring. In this chapter we study the Chow ring of an abelian variety. For a nonsingular variety over a field the classes of cycles modulo rational equivalence form a ring w

Source URL: www.math.ru.nl

HIGHER CENTRAL EXTENSIONS VIA COMMUTATORS DIANA RODELO AND TIM VAN DER LINDEN Abstract. We prove that all semi-abelian categories with the the Smith is Huq property satisfy the Commutator Condition (CC): higher central e

Source URL: www.uclouvain.be

• Niels Henrik Abel
• Binary operations
• Combinatorial group theory
• Abelian group
• Field extension
• Abelian variety
• Commutator
• Presentation of a group
• Group extension
• Abstract algebra
• Algebra
• Group theory

Isogeny graphs with maximal real multiplication Sorina Ionica1,2 and Emmanuel Thomé2 1 Microsoft Research One Microsoft Way – Redmond, WA, 98052 – USA

Source URL: www.loria.fr

• Ring theory
• Module theory
• Abelian varieties
• Algebraic structures
• Endomorphism ring
• Dual abelian variety
• Elliptic curve
• Frobenius endomorphism
• Valuation
• Abstract algebra
• Algebra
• Category theory

825 Documenta Math. The Global Structure of Moduli Spaces of Polarized p-Divisible Groups

Source URL: www.math.uni-bielefeld.de

• Invariant theory
• Algebra
• Moduli space
• Dual abelian variety
• Étale morphism
• Analytic number theory
• Algebraic groups
• Abstract algebra
• Algebraic geometry
• Moduli theory

Main Question Modular compactifications Symplectic cutting Compactifications of reductive groups, non-abelian symplectic cutting and geometric

Source URL: projects.au.dk

• Differential topology
• Symplectic geometry
• Algebraic geometry
• Compactification
• Reductive group
• Geometric quantization
• Toric variety
• Abstract algebra
• Lie groups
• Theoretical physics

A SPECTS OF H YPERELLIPTIC C URVES OVER L ARGE P RIME F IELDS IN S OFTWARE I MPLEMENTATIONS Roberto Maria Avanzi Institute for Experimental Mathematics (IEM) Ellernstrasse 29, DEssen, Germany

Source URL: eprint.iacr.org

• Geometry
• Elliptic curve
• Hyperelliptic curve
• Divisor
• Abelian variety
• Lenstra elliptic curve factorization
• Imaginary hyperelliptic curve
• Abstract algebra
• Algebraic geometry
• Algebraic curves