Logga in

Mumford, David

Tata Lectures on Theta II

Mumford, David - Tata Lectures on Theta II, e-bok

58,15€

E-bok, PDF, Adobe DRM-skydd
ISBN: 9780817645786
DRM-begränsningar

Skriva utInte tillåtet
Kopiera till urklippInte tillåtet

Table of contents

IIIa:. An Elementary Construction of Hyperelliptic Jacobians

1. Review of background in algebraic geometry
David Mumford

2. Divisors on hyperelliptic curves
David Mumford

3. Algebraic construction of the Jacobian of a hyperelliptic curve
David Mumford

4. The translation-invariant vector fields
David Mumford

5. Neumann’s dynamical system
David Mumford

6. Tying together the analytic Jacobian and algebraic Jacobian
David Mumford

7. Theta characteristics and the fundamental Vanishing Property
David Mumford

8. Frobenius’ theta formula
David Mumford

9. Thomae’s formula and moduli of hyperelliptic curves
David Mumford

10. Characterization of hyperelliptic period matrices
David Mumford

11. The hyperelliptic p-function
David Mumford

12. The Korteweg-deVries dynamical system
David Mumford

IIIb:. Fay’s Trisecant Identity for Jacobian theta functions

13. The Prime Form E(x,y).
David Mumford

14. Fay’s Trisecant Identity
David Mumford

15. Corollaries of the identity
David Mumford

16. Applications to solutions of differential equations
David Mumford

17. The Generalized Jacobian of a Singular Curve and its Theta Function
David Mumford

18. Resolution of algebraic equations by theta constants
Hiroshi Umemura

Nyckelord: Mathematics, Special Functions, Algebraic Geometry, Mathematical Methods in Physics, Functions of a Complex Variable, Algebraic Topology, Partial Differential Equations

Författare
Utgivare
Springer
Utgivningsår
2007
Språk
en
Utgåva
1
Serie
Modern Birkhäuser Classics
Sidantal
286 sidor
Kategori
Naturvetenskaper
Format
E-bok
eISBN (PDF)
9780817645786

Liknande e-böcker