Tata Lectures on Theta II
Jacobian theta functions and differential equations
(Sprache: Englisch)
The second in a series of three volumes that survey the theory of theta functions, this volume emphasizes the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries...
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The second in a series of three volumes that survey the theory of theta functions, this volume emphasizes the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics.
It presents an explicit elementary construction of hyperelliptic Jacobian varieties and is a self-contained introduction to the theory of the Jacobians. It also ties together nineteenth-century discoveries due to Jacobi, Neumann, and Frobenius with recent discoveries of Gelfand, McKean, Moser, John Fay, and others.
Inhaltsverzeichnis zu „Tata Lectures on Theta II “
- Introduction- An Elementary Construction of Hyperelliptic Jacobians
- Fay's Trisecant Identity for Jacobian Theta Functions
- Resolutions of Algebraic Equations by Theta Constants
- Bibliography
Autoren-Porträt von David Mumford
David Mumford was born on June 11, 1937 in England and has been associated with Harvard University continuously from entering as freshman to his present position of Higgins Professor of Mathematics.Mumford worked in the fields of Algebraic Gemetry in the 60's and 70's, concentrating especially on the theory of moduli spaces: spaces which classify all objects of some type, such as all curves of a given genus or all vector bundles on a fixed curve of given rank and degree. Mumford was awarded the Fields Medal in 1974 for his work on moduli spaces and algebraic surfaces. He is presently working on the mathematics of pattern recognition and artificial intelligence.
Bibliographische Angaben
- Autor: David Mumford
- 2006, Repr. of the 1984., 272 Seiten, Masse: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Mitarbeit: Musili, C.; Nori, M.
- Verlag: Springer
- ISBN-10: 0817645691
- ISBN-13: 9780817645694
- Erscheinungsdatum: 27.12.2006
Sprache:
Englisch
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