ISBN: 9780387909974

By Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths, Joseph Daniel Harris. In recent years there has been enormous activity in the theory of algebraic curves. - to Special Divisors.… Meer...

By Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths, Joseph Daniel Harris. In recent years there has been enormous activity in the theory of algebraic curves. - to Special Divisors. - The Varieties of Special Linear Series on a Curve. The Nile on eBay   FREE SHIPPING UK WIDE   Geometry of Algebraic Curves by Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths, Joseph Daniel Harris In recent years there has been enormous activity in the theory of algebraic curves. 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. FORMATHardcover LANGUAGEEnglish CONDITIONBrand New Publisher Description 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). Table of Contents Preliminaries.- Determinantal Varieties.- to Special Divisors.- The Varieties of Special Linear Series on a Curve.- The Basic Results of the Brill-Noether Theory.- The Geometric Theory of Riemann's Theta Function.- The Existence and Connectedness Theorems for W d r (C).- Enumerative Geometry of Curves. Review From the reviews:"A comprehensive account of the deepest results of the geometry of algebraic curves that were obtained in the second half of the 20th century using some of the more advanced techniques of abstract algebraic geometry … . at the end of every chapter there bibliographical notes that guide the reader to the original literature and further developments and sets of exercises that complement the theory … . an immediate standard reference for researchers and students working on the geometry of algebraic curves … ." (Felipe Zaldivar, The Mathematical Association of America, July, 2011) Long Description 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 Review Quote From the reviews:A comprehensive account of the deepest results of the geometry of algebraic curves that were obtained in the second half of the 20th century using some of the more advanced techniques of abstract algebraic geometry … . at the end of every chapter there bibliographical notes that guide the reader to the original literature and further developments and sets of exercises that complement the theory … . an immediate standard reference for researchers and students working on the geometry of algebraic curves … . (Felipe Zaldivar, The Mathematical Association of America, July, 2011) Details ISBN0387909974 Language English ISBN-10 0387909974 ISBN-13 9780387909974 Media Book Format Hardcover Series Number 267 Imprint Springer-Verlag New York Inc. Place of Publication New York, NY Country of Publication United States Edition 1st Subtitle Volume I Short Title GEOMETRY OF ALGEBRAIC CURVES 1 Pages 387 DOI 10.1007/b18506;10.1007/978-1-4757-5323-3 UK Release Date 2007-05-15 AU Release Date 2007-05-15 NZ Release Date 2007-05-15 US Release Date 2007-05-15 Author Joseph Daniel Harris Publisher Springer-Verlag New York Inc. Edition Description 1st ed. 1985, Corr. 2nd printing 2007 Series Grundlehren der mathematischen Wissenschaften Year 2007 Publication Date 2007-05-15 Alternative 9781441928252 DEWEY 516.352 Illustrations XVI, 387 p. Audience Professional & Vocational We've got thisAt The Nile, if you're looking for it, we've got it.With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 30 DAY RETURN POLICYNo questions asked, 30 day returns! FREE DELIVERYNo matter where you are in the UK, delivery is free. SECURE PAYMENTPeace of mind by paying through PayPal and eBay Buyer Protection TheNile_Item_ID:137895639; , Neu, Festpreisangebot, [LT: FixedPrice], ISBN-13: 9780387909974, Book Title: Geometry of Algebraic Curves, Publication Year: 2007, Type: Textbook, Format: Hardcover, Language: English, Publication Name: Geometry of Algebraic Curves: Volume I, Item Height: 235mm, Item Width: 155mm, Subject: Mathematics, Item Weight: 1460g, Number of Pages: 387 Pages, Springer-Verlag NY Inc.<

2007, ISBN: 0387909974

1st ed. 1985, Corr. 2nd printing 2007 Gebundene Ausgabe Algebra; modulispace, mit Schutzumschlag 11, [PU:Springer New York; Springer US]

1984, ISBN: 0387909974

[EAN: 9780387909974], Neubuch, [PU: Springer], Print on Demand pp. 404 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam, Books