Abelian Varieties, Theta Functions and the Fourier Transform by Alexander Polishchuk PDF

By Alexander Polishchuk

ISBN-10: 0521808049

ISBN-13: 9780521808040

the purpose of this booklet is to offer a contemporary remedy of the speculation of theta features within the context of algebraic geometry. the newness of its method lies within the systematic use of the Fourier-Mukai remodel. the writer begins by way of discussing the classical concept of theta capabilities from the viewpoint of the illustration concept of the Heisenberg staff (in which the standard Fourier rework performs the popular role). He then indicates that during the algebraic method of this idea, the Fourier–Mukai rework can frequently be used to simplify the prevailing proofs or to supply thoroughly new proofs of many very important theorems. Graduate scholars and researchers with robust curiosity in algebraic geometry will locate a lot of curiosity during this volume.

Show description

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

Similar number theory books

Get Number Theoretic Methods: Future Trends (Developments in PDF

This quantity comprises the court cases of the very profitable moment China-Japan Seminar held in lizuka, Fukuoka, Japan, in the course of March 12-16, 2001 less than the help of the Japan Society for the promoting of technology (JSPS) and the nationwide technological know-how beginning of China (NSFC), and a few invited papers of eminent number-theorists who visited Japan in the course of 1999-2001 on the celebration of the convention on the learn Institute of Mathematical Sciences (RIMS), Kyoto college.

Get Basiswissen Zahlentheorie: Eine Einführung in Zahlen und PDF

Kenntnisse über den Aufbau des Zahlensystems und über elementare zahlentheoretische Prinzipien gehören zum unverzichtbaren Grundwissen in der Mathematik. Das vorliegende Buch spannt den Bogen vom Rechnen mit natürlichen Zahlen über Teilbarkeitseigenschaften und Kongruenzbetrachtungen bis hin zu zahlentheoretischen Funktionen und Anwendungen wie der Kryptographie und Zahlencodierung.

Read e-book online Mathematische Appetithäppchen: Faszinierende Bilder. PDF

Mathematische Gedankengänge besitzen einen ästhetischen Reiz, den jeder zu schätzen weiß, der die Zeit und die Hingabe hat, sich in die Materie zu vertiefen. In seinem Buch präsentiert Martin Erickson mathematische Themen, die nach den Kategorien Wörter, Bilder, Formeln, Sätze, Beweise, Lösungen und ungelöste Probleme sortiert sind und als besonders "schön" bezeichnet werden können.

New PDF release: Dynamical Systems, Number Theory and Applications:A

This quantity includes a range of research-type articles on dynamical platforms, evolution equations, analytic quantity conception and heavily comparable themes. a robust emphasis is on a good stability among theoretical and extra utilized paintings, hence spanning the chasm among summary perception and real software.

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

Sample text

Download PDF sample

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


by Christopher
4.0

Abelian Varieties, Theta Functions and the Fourier Transform by Alexander Polishchuk PDF
Rated 4.29 of 5 – based on 46 votes