By Alexander Polishchuk

the purpose of this e-book is to provide a latest therapy of the idea of theta capabilities within the context of algebraic geometry. the newness of its method lies within the systematic use of the Fourier-Mukai remodel. the writer starts off by means of discussing the classical concept of theta services from the viewpoint of the illustration idea of the Heisenberg team (in which the standard Fourier remodel performs the well-known role). He then exhibits that during the algebraic method of this conception, the Fourier–Mukai remodel can frequently be used to simplify the present proofs or to supply thoroughly new proofs of many very important 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

Similar number theory books

Read e-book online p-adic Numbers: An Introduction (Universitext) PDF

There are numbers of every kind: rational, actual, complicated, p-adic. The p-adic numbers are much less renowned than the others, yet they play a primary position in quantity conception and in different components of arithmetic. This easy advent bargains a vast knowing of p-adic numbers. From the reports: "It could be the main compatible textual content for newbies, and that i shall certainly suggest it to somebody who asks me what a p-adic quantity is.

Serge Lang's Introduction to Modular Forms (Grundlehren der PDF

From the reports: "This ebook offers an intensive advent to numerous theories which are basic to investigate on modular types. lots of the fabric, regardless of its value, had formerly been unavailable in textbook shape. entire and readable proofs are given. .. In end, this ebook is a great addition to the literature for the becoming variety of scholars and mathematicians in different fields who are looking to comprehend the new advancements within the conception of modular types.

Download e-book for kindle: Mathematics and Its History (Undergraduate Texts in by John Stillwell

From a evaluation of the second one edition:"This e-book covers many attention-grabbing subject matters now not often lined in a gift day undergraduate path, in addition to yes uncomplicated subject matters akin to the improvement of the calculus and the answer of polynomial equations. the truth that the themes are brought of their ancient contexts will let scholars to higher delight in and comprehend the mathematical rules concerned.

Baskar Balasubramanyam,Haruzo Hida,A Raghuram,Jacques's P-ADIC ASPECTS OF MODULAR FORMS PDF

The purpose of this ebook is to provide a scientific exposition of leads to a few vital situations the place p-adic households and p-adic L-functions are studied. We first examine p-adic households within the following circumstances: normal linear teams, symplectic teams and sure unitary teams. We additionally examine purposes of this concept to modularity lifting difficulties.

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 George

Rated 4.42 of 5 – based on 29 votes