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ISBN: 9780387909974
ID: b288ead1b7391bccc4afbb54f74d0d59
This comprehensive and self-contained account of the extrinsic geometry of algebraic curves applies the theory of linear series to a number of classical topics, including the geometry of the Reimann theta divisor, as well as to contemporary research. In recent years there has been enormous activity in the theory of algebraic curves. Many long-standing problems have been solved using the general techniques developed in algebraic geometry during the 1950's and 1960's. Additionally, unexpected and deep connections between algebraic curves and differential equations have been uncovered, and these in turn shed light on other classical problems in curve theory. It seems fair to say that the theory of algebraic curves looks completely different now from how it appeared 15 years ago; in particular, our current state of knowledge repre sents a significant advance beyond the legacy left by the classical geometers such as Noether, Castelnuovo, Enriques, and Severi. These books give a presentation of one of the central areas of this recent activity; namely, the study of linear series on both a fixed curve (Volume I) and on a variable curve (Volume II). Our goal is to give a comprehensive and self-contained account of the extrinsic geometry of algebraic curves, which in our opinion constitutes the main geometric core of the recent advances in curve theory. Along the way we shall, of course, discuss appli cations of the theory of linear series to a number of classical topics (e.g., the geometry of the Riemann theta divisor) as well as to some of the current research (e.g., the Kodaira dimension of the moduli space of curves). Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-387-90997-4, Springer
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Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths, Joseph Daniel Harris:
Geometry of Algebraic Curves: Volume I - hardcoverISBN: 0387909974
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ISBN: 0387909974
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ISBN: 0387909974
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ISBN: 9780387909974
ID: 9780387909974
Mathematics; Algebraic Geometry Algebraic, Curves, Geometry, algebra, moduli space Books Book, Springer Science+Business Media
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This comprehensive and self-contained account of the extrinsic geometry of algebraic curves applies the theory of linear series to a number of classical topics, including the geometry of the Reimann theta divisor, as well as to contemporary research. Shipping costs: EUR 0.00
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Title: | Geometry of Algebraic Curves: Volume 1 |
ISBN: | 9780387909974 |
Details of the book - Geometry of Algebraic Curves: Volume 1
EAN (ISBN-13): 9780387909974
ISBN (ISBN-10): 0387909974
Hardcover
Publishing year: 2006
Publisher: Springer-Verlag GmbH
404 Pages
Weight: 0,765 kg
Language: eng/Englisch
Book in our database since 26.05.2007 08:31:28
Book found last time on 27.12.2016 11:21:32
ISBN/EAN: 9780387909974
ISBN - alternate spelling:
0-387-90997-4, 978-0-387-90997-4
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