Blick ins Buch

Tata Lectures on Theta

David Mumford (Autor)

Buch | Softcover

212 Seiten

2006 | 1st ed. 1991. 2nd printing 2006
Birkhauser Boston Inc (Verlag)
978-0-8176-4570-0 (ISBN)

Lese- und Medienproben

Blick ins Buch (midvox)

Titel ist leider vergriffen;
keine Neuauflage

Artikel merken

This volume is the third of three in a series surveying the theory of theta functions which play a central role in the fields of complex analysis, algebraic geometry, number theory and most recently particle physics.

This volume is the third of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).

Heisenberg groups in general.- The real Heisenberg groups.- Finite Heisenberg groups and sections of line bundles on abelian varieties.- Adelic Heisenberg groups and towers of abelian varieties.- Algebraic theta functions.- Theta functions with quadratic forms.- Riemann's theta relation.- The metaplectic group and the full functional equation of ?.- Theta Functions in Spherical Harmonics.- The homogeneous coordinate ring of an abelian variety.

Reihe/Serie	Modern Birkhäuser Classics
Mitarbeit	Sonstige Mitarbeit: M. Nori, P. Norman
Zusatzinfo	2 black & white illustrations, biography
Verlagsort	Secaucus
Sprache	englisch
Maße	155 x 233 mm
Gewicht	690 g
Einbandart	Paperback
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-8176-4570-5 / 0817645705
ISBN-13	978-0-8176-4570-0 / 9780817645700
Zustand	Neuware