Book Details
Lectures on Riemann Surfaces : Jacobi Varieties
ISBN 9780691646169
Pages 198
Year 2016
Edition 1
Publisher PRINCETON UNIVERSITY PRESS
Subject MATHEMATICS & STATISTICS
Description
A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis presented here requires the use of various properties of Jacobi varieties and of symmetric products of Riemann surfaces, and so serves as a further introduction to these topics as well.
About Author(s)
ROBERT C. GUNNING
Content
Contents
1. Marked Riemann Surfaces and their Canonical
2. Jacobi Varieties and their Distinguished Subvarieties
3. Jacobi Varieties and Symmetric Products of Riemann Surfaces
Notes for
References
4. Intersections in Jacobi Varieties and Torelli's Theorem
Appendix
Index of Symbols
Index
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