By Hershel M. Farkas

Previous courses at the generalization of the Thomae formulae to Zn curves have emphasised the theory's implications in mathematical physics and depended seriously on utilized mathematical concepts. This ebook redevelops those past effects demonstrating how they are often derived at once from the elemental homes of theta features as capabilities on compact Riemann surfaces.

 

"Generalizations of Thomae's Formula for Zn Curves" comprises numerous refocused proofs built in a generalized context that's extra obtainable to researchers in similar mathematical fields reminiscent of algebraic geometry, advanced research, and quantity theory.

 

This publication is meant for mathematicians with an curiosity in advanced research, algebraic geometry or quantity idea in addition to physicists learning conformal box theory.

Show description

Read or Download Generalizations of Thomae's Formula for Zn Curves: 21 (Developments in Mathematics) PDF

Similar Algebraic Geometry books

An Introduction to Algebraic Geometry and Algebraic Groups (Oxford Graduate Texts in Mathematics)

An available textual content introducing algebraic geometries and algebraic teams at complex undergraduate and early graduate point, this e-book develops the language of algebraic geometry from scratch and makes use of it to establish the idea of affine algebraic teams from first rules. development at the heritage fabric from algebraic geometry and algebraic teams, the textual content offers an creation to extra complex and specialized fabric.

The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

The idea of elliptic curves is special by means of its lengthy historical past and by way of the variety of the equipment which have been utilized in its research. This publication treats the mathematics method in its sleek formula, by utilizing simple algebraic quantity thought and algebraic geometry. Following a quick dialogue of the required algebro-geometric effects, the publication proceeds with an exposition of the geometry and the formal workforce of elliptic curves, elliptic curves over finite fields, the advanced numbers, neighborhood fields, and worldwide fields.

Foundations of Hyperbolic Manifolds (Graduate Texts in Mathematics)

This seriously class-tested publication is an exposition of the theoretical foundations of hyperbolic manifolds. it's a either a textbook and a reference. A simple wisdom of algebra and topology on the first yr graduate point of an American collage is believed. the 1st half is worried with hyperbolic geometry and discrete teams.

Additional info for Generalizations of Thomae's Formula for Zn Curves: 21 (Developments in Mathematics)

Show sample text content

Rated 4.49 of 5 – based on 40 votes