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Book Details

  New Book

Lectures on Riemann Surfaces : Jacobi Varieties


By ROBERT C. GUNNING (Author)
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Price : $104.00  $83.20
ISBN : 9780691646169  
Page : 198
Year of Publication : 2016    Edition : 1
Publisher : PRINCETON UNIVERSITY PRESS
Subject : MATHEMATICS & STATISTICS



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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.


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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