A scrapbook of complex curve theory / C.Herbert Clemens
Type de document : MonographieCollection : Graduate studies in mathematics, 55Langue : anglais.Pays: Etats Unis.Mention d'édition: 2nd editionÉditeur : New York : American Mathematical Society, 2003Description : 1 vol. (XI-188 p.) ; 26 cmISBN: 9780821833070.ISSN: 1065-7339.Bibliographie : Bibliogr. p. 181. Index.Sujet MSC : 14H25, Curves in algebraic geometry, Arithmetic ground fields for curves14H52, Curves in algebraic geometry, Elliptic curves
14K25, Abelian varieties and schemes, Theta functions and abelian varieties
14H42, Curves in algebraic geometry, Theta functions and curves; Schottky problem
30F10, Functions of a complex variable - Riemann surfaces, Compact Riemann surfaces and uniformizationEn-ligne : Zentralblatt | MathSciNet | AMS
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CMI Salle 1 | 14 CLE (Browse shelf(Opens below)) | Available | 07602-01 |
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
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