Download e-book for iPad: Abelian Varieties, Theta Functions and the Fourier Transform by Alexander Polishchuk

By Alexander Polishchuk

ISBN-10: 0521808049

ISBN-13: 9780521808040

the purpose of this ebook is to offer a contemporary remedy of the speculation of theta capabilities within the context of algebraic geometry. the newness of its process lies within the systematic use of the Fourier-Mukai remodel. the writer starts off via discussing the classical idea of theta services from the perspective of the illustration idea of the Heisenberg staff (in which the standard Fourier rework performs the well-known role). He then exhibits that during the algebraic method of this concept, the Fourier–Mukai remodel can frequently be used to simplify the prevailing proofs or to supply thoroughly new proofs of many vital theorems. Graduate scholars and researchers with powerful curiosity in algebraic geometry will locate a lot of curiosity during this volume.

Show description

Read Online or Download Abelian Varieties, Theta Functions and the Fourier Transform (Cambridge Tracts in Mathematics) PDF

Best number theory books

Read e-book online "e:" The Story of a Number: The Story of a Number (Princeton PDF

The curiosity earned on a checking account, the association of seeds in a sunflower, and the form of the Gateway Arch in St. Louis are all in detail hooked up with the mysterious quantity e. during this casual and fascinating heritage, Eli Maor portrays the curious characters and the dependent arithmetic that lie at the back of the quantity.

Arithmetic and Geometry of K3 Surfaces and Calabi–Yau - download pdf or read online

In recent times, learn in K3 surfaces and Calabi–Yau kinds has obvious magnificent growth from either mathematics and geometric issues of view, which in flip maintains to have a tremendous impact and impression in theoretical physics—in specific, in string idea. The workshop on  mathematics and Geometry of  K3 surfaces and Calabi–Yau threefolds, held on the Fields Institute (August 16-25, 2011), aimed to provide a cutting-edge survey of those new advancements.

Download e-book for kindle: Diophantine Analysis: Course Notes from a Summer School by Jörn Steuding,Sanda Bujačić,Alan Filipin,Simon

This selection of path notes from a bunch idea summer season college specialise in features of Diophantine research, addressed to grasp and doctoral scholars in addition to every body who desires to research the topic. the subjects diversity from Baker’s approach to bounding linear varieties in logarithms (authored by way of Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing particularly the but unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and smooth diversifications by way of Bombieri and Schmidt (Tapani Matala-aho), and a old account of similar quantity theory(ists) on the flip of the nineteenth Century (Nicola M.

Brauer Groups and Obstruction Problems: Moduli Spaces and - download pdf or read online

The contributions during this ebook discover a number of contexts during which the derived type of coherent sheaves on a range determines a few of its mathematics. This environment offers new geometric instruments for studying parts of the Brauer team. With a view in the direction of destiny mathematics functions, the booklet extends a couple of strong instruments for interpreting rational issues on elliptic curves, e.

Additional resources for Abelian Varieties, Theta Functions and the Fourier Transform (Cambridge Tracts in Mathematics)

Example text

Download PDF sample

Abelian Varieties, Theta Functions and the Fourier Transform (Cambridge Tracts in Mathematics) by Alexander Polishchuk

by Joseph

Rated 4.76 of 5 – based on 19 votes