Lectures on Riemann Surfaces : : Jacobi Varieties / / Robert C. Gunning.
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-di...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©1973 |
Year of Publication: | 2015 |
Language: | English |
Series: | Princeton Legacy Library ;
1238 |
Online Access: | |
Physical Description: | 1 online resource (198 p.) |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
LEADER | 05167nam a22007575i 4500 | ||
---|---|---|---|
001 | 9781400872695 | ||
003 | DE-B1597 | ||
005 | 20210830012106.0 | ||
006 | m|||||o||d|||||||| | ||
007 | cr || |||||||| | ||
008 | 210830t20151973nju fo d z eng d | ||
020 | |a 9781400872695 | ||
024 | 7 | |a 10.1515/9781400872695 |2 doi | |
035 | |a (DE-B1597)454628 | ||
035 | |a (OCoLC)979905673 | ||
040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
041 | 0 | |a eng | |
044 | |a nju |c US-NJ | ||
050 | 4 | |a QA333 | |
072 | 7 | |a MAT012040 |2 bisacsh | |
082 | 0 | 4 | |a 515/.223 |
084 | |a SI 870 |q BVB |2 rvk |0 (DE-625)rvk/143208: | ||
100 | 1 | |a Gunning, Robert C., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 0 | |a Lectures on Riemann Surfaces : |b Jacobi Varieties / |c Robert C. Gunning. |
264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2015] | |
264 | 4 | |c ©1973 | |
300 | |a 1 online resource (198 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
490 | 0 | |a Princeton Legacy Library ; |v 1238 | |
505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t § 1. Marked Riemann surfaces and their canonical differentials -- |t § 2. Jacobi varieties and their distinguished subvarieties -- |t § 3. Jacobi varieties and symmetric products of Riemann surfaces -- |t § 4. Intersections in Jacobi varieties and Torelli's theorem -- |t Appendix. On conditions ensuring that W2r≠ ⌀ -- |t Index of symbols -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a 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.The first chapter consists of a rather explicit description of a canonical basis for the Abelian differentials on a marked Riemann surface, and of the description of the canonical meromorphic differentials and the prime function of a marked Riemann surface. Chapter 2 treats Jacobi varieties of compact Riemann surfaces and various subvarieties that arise in determining the dimensions of spaces of holomorphic cross-sections of complex line bundles. In Chapter 3, the author discusses the relations between Jacobi varieties and symmetric products of Riemann surfaces relevant to the determination of dimensions of spaces of holomorphic cross-sections of complex line bundles. The final chapter derives Torelli's theorem following A. Weil, but in an analytical context.Originally published in 1973.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. | ||
530 | |a Issued also in print. | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
650 | 0 | |a Jacobi varieties. | |
650 | 0 | |a Riemann surfaces. | |
650 | 7 | |a MATHEMATICS / Geometry / Non-Euclidean. |2 bisacsh | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Legacy Lib. eBook Package 1931-1979 |z 9783110426847 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Legacy Lib. eBook Package Science |z 9783110413595 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
776 | 0 | |c print |z 9780691619255 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9781400872695 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400872695 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9781400872695.jpg |
912 | |a 978-3-11-041359-5 Princeton Legacy Lib. eBook Package Science | ||
912 | |a 978-3-11-042684-7 Princeton Legacy Lib. eBook Package 1931-1979 |c 1931 |d 1979 | ||
912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
912 | |a EBA_BACKALL | ||
912 | |a EBA_CL_MTPY | ||
912 | |a EBA_EBACKALL | ||
912 | |a EBA_EBKALL | ||
912 | |a EBA_ECL_MTPY | ||
912 | |a EBA_EEBKALL | ||
912 | |a EBA_ESTMALL | ||
912 | |a EBA_PPALL | ||
912 | |a EBA_STMALL | ||
912 | |a GBV-deGruyter-alles | ||
912 | |a PDA12STME | ||
912 | |a PDA13ENGE | ||
912 | |a PDA18STMEE | ||
912 | |a PDA5EBK |