A scrapbook of complex curve theory / C.Herbert Clemens

Auteur: Clemens, Charles Herbert (1939-) - AuteurType de document: MonographieCollection: Graduate studies in mathematics ; 55Langue: anglaisPays: Etats UnisÉditeur: New York : American Mathematical Society, 2003Edition: 2nd editionDescription: 1 vol. (XI-188 p.) ; 26 cm ISBN: 9780821833070 ; rel. Note: The book is an impressionistic journey through the classical subject of complex curves, that is, compact Riemann surfaces. Curve theory, as with most other central areas of complex algebraic geometry, has continued to advance, notably in areas such as the theory of vector bundles on curves and in our understanding of the moduli stacks of curves. But the basics of the theory touched on in the “scrapbook” have weathered a test of time much longer than the twenty-some years since the first edition and are likely to stand the test of many more decades of scrutiny. For this reason, I saw no need to rewrite the book for this new edition. However, the available literature has grown immensely. So I have taken the opportunity to point out a few more sources in an addendum to the original list of references. (Zentralblatt)Bibliographie: Bibliogr. p. 181. Index. Sujets MSC: 14H25 Algebraic geometry -- Curves -- Arithmetic ground fields
14H52 Algebraic geometry -- Curves -- Elliptic curves
14K25 Algebraic geometry -- Abelian varieties and schemes -- Theta functions
14H42 Algebraic geometry -- Curves -- Theta functions; Schottky problem
30F10 Functions of a complex variable -- Riemann surfaces -- Compact Riemann surfaces and uniformization
En-ligne: Zentralblatt | MathSciNet | AMS
Location Call Number Status Date Due
Salle R 07602-01 / 14 CLE (Browse Shelf) Available

The book is an impressionistic journey through the classical subject of complex curves, that is, compact Riemann surfaces. Curve theory, as with most other central areas of complex algebraic geometry, has continued to advance, notably in areas such as the theory of vector bundles on curves and in our understanding of the moduli stacks of curves. But the basics of the theory touched on in the “scrapbook” have weathered a test of time much longer than the twenty-some years since the first edition and are likely to stand the test of many more decades of scrutiny. For this reason, I saw no need to rewrite the book for this new edition. However, the available literature has grown immensely. So I have taken the opportunity to point out a few more sources in an addendum to the original list of references. (Zentralblatt)

Bibliogr. p. 181. Index

There are no comments for this item.

Log in to your account to post a comment.
Languages: English | Français | |