An Introduction To The Theory Of Special Divisors On Algebraic Curves

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An Introuduction To The Theory Of Special Divisors On Algebraic Curves
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Author : Phillip Griffiths
language : en
Publisher:
Release Date : 1980
An Introuduction To The Theory Of Special Divisors On Algebraic Curves written by Phillip Griffiths and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
An Introduction To The Theory Of Special Divisors On Algebraic Curves
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Author : Phillip Griffiths
language : en
Publisher: American Mathematical Soc.
Release Date : 1980-12-31
An Introduction To The Theory Of Special Divisors On Algebraic Curves written by Phillip Griffiths and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-12-31 with Mathematics categories.
In May, 1979, an NSF Regional Conference was held at the University of Georgia in Athens. The topic of the conference was ``Special divisors on algebraic curves,''. This monograph gives an exposition of the elementary aspects of the theory of special divisors together with an explanation of some more advanced results that are not too technical. As such, it is intended to be an introduction to recent sources. As with most subjects, one may approach the theory of special divisors from several points of view. The one adopted here pertains to Clifford's theorem, and may be informally stated as follows: The failure of a maximally strong version of Clifford's theorem to hold imposes nontrivial conditions on the moduli of an algebraic curve. This monograph contains two sections, respectively studying special divisors using the Riemann-Roch theorem and the Jacobian variety. In the first section the author begins pretty much at ground zero, so that a reader who has only passing familiarity with Riemann surfaces or algebraic curves may be able to follow the discussion. The respective subtopics in this first section are (a) the Riemann-Roch theorem, (b) Clifford's theorem and the $\mu_0$-mapping, and (c) canonical curves and the Brill-Noether matrix. In the second section he assumes a little more, although again an attempt has been made to explain, if not prove, anything. The respective subtopics are (a) Abel's theorem, (b) the reappearance of the Brill-Noether matrix with applications to the singularities of $W_d$ and the Kleiman-Laksov existence proof, (c) special linear systems in low genus.
An Introduction To The Theory Of Special Divisors On Algebraic Curves
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Author :
language : en
Publisher:
Release Date : 1980
An Introduction To The Theory Of Special Divisors On Algebraic Curves written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Selected Works Of Phillip A Griffiths With Commentary
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Author : Phillip Griffiths
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Selected Works Of Phillip A Griffiths With Commentary written by Phillip Griffiths and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.
An Introduction To The Theory Of Special Divisors On Algebraic Curves
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Author :
language : en
Publisher:
Release Date : 1980
An Introduction To The Theory Of Special Divisors On Algebraic Curves written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Introduction To Intersection Theory In Algebraic Geometry
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Author : William Fulton
language : en
Publisher: American Mathematical Soc.
Release Date : 1984
Introduction To Intersection Theory In Algebraic Geometry written by William Fulton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications. Suitable for graduate students in mathematics, this book describes the construction and computation of intersection products by means of the geometry of normal cones.
Introduction To Some Methods Of Algebraic K Theory
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Author : Hyman Bass
language : en
Publisher: American Mathematical Soc.
Release Date : 1974-12-31
Introduction To Some Methods Of Algebraic K Theory written by Hyman Bass and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-12-31 with Mathematics categories.
Encyclopaedia Of Mathematics
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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-11-11
Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
The Selected Works Of Phillip A Griffiths With Commentary Variations Of Hodge Structure
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Author : Phillip Griffiths
language : en
Publisher:
Release Date : 2003
The Selected Works Of Phillip A Griffiths With Commentary Variations Of Hodge Structure written by Phillip Griffiths and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Geometry categories.
Geometry Of Algebraic Curves
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Author : Enrico Arbarello
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Geometry Of Algebraic Curves written by Enrico Arbarello and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
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).