Every Riemann surface is a complex algebraic curve and every compact . in Rick Miranda’s book “Algebraic Curves and Riemann Surfaces”). Algebraic Curves and Riemann Surfaces. Rick Miranda. Graduate Studies in Mathematics. Volume 5. If American Mathematical Society. Author: Rick Miranda Title: Algebraic Curves and Riemann Surfaces Amazon Link.
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Algebraic Curves and Riemann Surfaces by Rick Miranda
Thanks for telling us about the problem. Return to Book Page. The author of this monograph argues that algebraic curves are best encountered for the first time over the complex numbers, where the reader’s classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surf The author of this monograph argues that algebraic curves are best encountered for the first time over the complex numbers, where the reader’s classical intuition about surfaces, integration, and other concepts can be brought into play.
Albebraic this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking centre stage.
Links between Riemann surfaces and algebraic geometry – MathOverflow
But the main examples come from projective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Dualtiy Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem.
Sheaves and cohomology are introduced as a unifying device in the alegbraic chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one term of complex variable theory and a year surfwces abstract algebra, this is a graduate textbook for a second-term course in complex variables or a year-long course in algebraic geometry.
Hardcoverpages. Published January 1st by American Mathematical Society. To see what riemamn friends thought of this book, please sign up. To ask other readers questions about Algebraic Curves and Riemann Surfacesplease sign up.
MATH 510: Riemann Surfaces and Algebraic Curves (Spring 2016)
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Gives a very readable account of Riemann Surfaces – a good course in complex analysis is all that’s required as a prereq. Eduardo rated it it was amazing Mar 28, Sannah Ziama rated it it was amazing Nov 29, Francesco rated it it was amazing May 10, Steve rated it it was amazing Jan 27, Emdi Daniel rated it really liked it Mar 18, Bolo rated it it was amazing Jul 15, IQ rated it really liked it Feb 03, Tom Deneckere rated it it was amazing Feb 06, Yuri Popov rated it it was amazing Apr 04, CW rated it it was amazing Jan 07, Geoffrey Lee rated it it was amazing Aug 27, Jesse marked it as to-read Feb 02, Johan marked it as to-read Sep 17, Homoionym added it Aug 18, Winston marked it as to-read Jul 16, Jiarui marked it as to-read Aug 31, Steve Dalton marked it as to-read Oct 07, Fran Burstall added it Jan 04, Nitin CR added it Apr 24, Theodore Iliopoulos added surfacds Nov 05, Gavin Rebeiro marked it as to-read Dec 15, Jake marked it as to-read Dec 24, Allen Divall marked it as to-read Feb 19, The Architect marked it as to-read Apr 29, Jonathan Chuang marked it as to-read May 05, Martijn added it May 20, Ppp added it Aug 01, Mazi marked it as to-read Aug 03, Octipi marked it as to-read Nov 14, M marked it as to-read Dec curvees, Alain Etcheberry marked it as to-read Mar 24, Deepthi AP marked it as to-read Mar 28, CaveatEmptor is currently reading it Jun 25, Jeffrey Jiranda marked it as to-read Jul 27, There are no discussion topics on this book yet.
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