Theta Functions. Part 1 : Bowdoin 1987 / Robert C. Gunning, Leon Ehrenpreis.

Format:

Book

Author/Creator:

Gunning, Robert C., author.

Ehrenpreis, Leon, author.

Series:

Proceedings of symposia in pure mathematics ; Volume 49.

Proceedings of symposia in pure mathematics ; Volume 49

Language:

English

Subjects (All):

Functions, Theta--Congresses.

Functions, Theta.

Physical Description:

1 online resource (730 pages).

Place of Publication:

Cheltenham : Edward Elgar, 1989.

Contents:

Preface

Infinite Analysis

Systems of linear differential equations of infinite order: an aspect of infinite analysis

A particular partition of unity: an auxiliary tool in Hodge theory

Is there an infinite-dimensional algebraic geometry? Hints from KDV

A correspondence between an infinite Grassmannian and arbitrary vector bundles on algebraic curves

The KP hierarchy and infinite-dimensional Grassmann manifolds

Integrable Systems

Some geometrical techniques in integrable systems

Generalized theta functions and homoclinic varieties. Explicit equations for the KP and MKP hierarchies

Introduction to algebraic integrable systems and their Painlevé analysis

Polynomial x-functions for the AKNS hierarchy

Integrable systems as deformations of D-modules

Kac-Moody Algebras

The infinite wedge representation and the reciprocity law for algebraic curves

Exceptional hierarchies of soliton equations

Unitary representations of some infinite-dimensional Lie algebras

On highest weight and Fock space representations of the Virasoro algebra

Modular forms, strings, and ghosts

Lattice Models. Solution of Hirota's discrete-time Toda lattice equation and the critical correlations in the Z-invariant Ising model

Solvable lattice models

Theta function identities in a series of solvable lattice models

Star-triangle equations, quantum Lax pairs, and higher genus curves

Introduction to exactly solvable models in statistical mechanics

Physics

Introduction to holonomic quantum fields for mathematicians

Quantum field theory: a guide for mathematicians

A conformal field theory on Riemann surfaces realized as quantized moduli theory of Riemann surfaces. The physics of string theory

Jacobian Varieties

Schottky-Jung theory

Schottky relations on 1/2 C

C

Analytic identities for theta functions

Translation manifolds and the Schottky problem

Mappings of closed Riemann surfaces

Geometric characterization of Jacobians and the Schottky equations

Vector bundles over curves and solutions of the KP equations

Deformations of singular points on theta divisors

Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles. Explicit actions of the theta groups for theta divisors on Jacobian surfaces

Prym Varieties

Prym varieties: a survey

The trisecant conjecture for Pryms

Spectral curves, simple Lie algebras, and Prym-Tjurin varieties

Algebraic Geometry

A new look for thetas

The cube structure on the determinant bundle

Unramified Abelian extensions of Galois covers

On twisted Legendre equations and Kummer surfaces

On embedded tangent and secant varieties of projective algebraic varieties.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

0-8218-9344-0