Jan 11, 2022 Relationship by admin

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.

Author: Dougal Datilar
Country: Italy
Language: English (Spanish)
Genre: Music
Published (Last): 11 December 2006
Pages: 146
PDF File Size: 5.30 Mb
ePub File Size: 9.44 Mb
ISBN: 350-9-70906-188-9
Downloads: 13454
Price: Free* [*Free Regsitration Required]
Uploader: Molmaran

Graduate Studies in Mathematics Volume: Furves Studies in Mathematics. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking centre stage.

Algebraic Curves and Riemann Surfaces

I’m taking introductory courses in both Riemann surfaces and algebraic geometry this term. In higher dimensions, complex projective algebraic varieties are a special subcategory of compact complex spaces, namely those that admit [holomorphic is sufficient] embeddings in projective space.

Join our email list. Return to Book Page. To see what your friends thought of this book, please sign up.

Author s Product display: Mathematics Stack Exchange works best with JavaScript enabled. Can they be classified? Jiarui marked it as to-read Aug 31, What are the complex analysis prerequisites for atleast starting this book first chapters?


This book is not yet featured on Listopia. Geoffrey Lee rated it it was amazing Aug 27, Published January 1st by American Mathematical Society. Winston marked it as to-read Jul 16, By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

Spaces of meromorphic functions and forms associated to a divisor F Apr 15 Sign up using Facebook. To recap, this a a geometry locally defined by algebraic equations in some space so that the resulting manifold is one-dimensional.

MATH 510: Riemann Surfaces and Algebraic Curves (Spring 2016)

But in dimension 1, a miracle happens, and the converse is true: No trivia or quizzes yet. But the main examples come from projective curves, and slowly but surely the text moves toward the algebraic category. Imagine a Riemann surface. The two key tools riekann Abel’s theory of contour integration on Riemann surfaces, and the Riemann-Roch theorem, which helps one to find meromorphic functions with certain properties.


Graduate students studying complex variables and algebraic geometry. Sign up using Facebook. Holomorphic maps W Feb 10 Deepthi AP marked it as to-read Mar ad, You can also draw a picture of Riemann surface covering a sphere by projection onto a coordinate.

Algebraic Curves and Riemann Surfaces

Hunter Brooks 3, 1 26 I was surprised to hear that any compact Riemann surface is a projective variety. Arithmetic issues are not discussed. If not, then what and from where should I study? Mazi marked it as to-read Aug 03, Namely it was Riemann’s introduction of the topological and analytic points of view, showing that path integrals and differential forms could be profitably used to study miranva algebraic curves, that deepened and revolutionized algebraic geometry forever.

Jonathan Chuang marked it as to-read May 05, The theories of compact Riemann surfaces and complex smooth projective algebraic curves are equivalent in a precise sense.