Current Topics in Complex Algebraic Geometry(1995)
Current Topics in Complex Algebraic Geometry(1995)
Current Topics in Complex Algebraic Geometry(1995)
This note covers the following topics:
Fundamental Groups of Smooth Projective Varieties, Vector Bundles on Curves and
Generalized Theta Functions: Recent Results and Open Problems, The Schottky
Problem, Spectral Covers, Torelli Groups and Geometry of Moduli Spaces of
Curves.
This note describes the following topics:
Solving cubic equations in two variables, Group law on the
cubic curve, Theta functions, Rank two vector bundles on elliptic curves.
This note explains the
following topics: Arithmetic of Elliptic Curves, Classical Elliptic-Curve
Cryptography, Efficient Implementation, Introduction to Pairing, Pairing-Based
Cryptography, Sample Application—ECDSA Batch Verification.
This note explains the following topics: Elliptic Integrals, Elliptic
Functions, Periodicity of the Functions, Landen’s Transformation, Complete
Functions, Development of Elliptic Functions into Factors, Elliptic Integrals of
the Second Order, Numerical Calculations.