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An Introduction to the Theory of Special Divisors on Algebraic Curves (Cbms Regional Conference Series in Mathematics)

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1980, ISBN: 0821816942

ID: 2926327246

[EAN: 9780821816943], Neubuch, [PU: American Mathematical Society], Mathematics|General, Mathematics|Geometry|Algebraic, Brand new. We distribute directly for the publisher. 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

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ISBN: 0821816942

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[EAN: 9780821816943], Neubuch, [PU: American Mathematical Society], Mathematics|General, Mathematics|Geometry|Algebraic, BRAND NEW, An Introduction to the Theory of Special Divisors on Algebraic Curves, Phillip Griffiths, 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 the Riemann-Roch theorem, Clifford's theorem and the $\\mu_0$-mapping, and 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 Abel's theorem, the reappearance of the Brill-Noether matrix with applications to the singularities of $W_d$ and the Kleiman-Laksov existence proof, and special linear systems in low genus

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1980, ISBN: 0821816942

ID: 22419635557

[EAN: 9780821816943], Neubuch, [PU: American Mathematical Society, United States], Mathematics|General, Mathematics|Geometry|Algebraic, Language: English . Brand New Book. 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 the Riemann-Roch theorem, Clifford s theorem and the $ mu 0$-mapping, and 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 Abel s theorem, the reappearance of the Brill-Noether matrix with applications to the singularities of $W d$ and the Kleiman-Laksov existence proof, and special linear systems in low genus.

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ISBN: 0821816942

Paperback, [EAN: 9780821816943], Amer Mathematical Society, Amer Mathematical Society, Book, [PU: Amer Mathematical Society], Amer Mathematical Society, 952134, Mathematics, 952136, Applied, 952154, Chaos & Systems, 952156, Geometry & Topology, 952170, Mathematical Analysis, 952212, Mathematical Physics, 952172, Number Systems, 952174, Pure Mathematics, 952208, Transformations, 952210, Trigonometry, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 956520, Algebraic Geometry, 956516, Geometry & Topology, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 15306811, Mathematics, 15306821, Algebra & Trigonometry, 15306831, Calculus, 15306841, Geometry, 15306851, Statistics, 15306801, Sciences, 15115321, Textbooks, 927726, Subjects, 916520, Books

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ISBN: 0821816942

Paperback, [EAN: 9780821816943], Amer Mathematical Society, Amer Mathematical Society, Book, [PU: Amer Mathematical Society], Amer Mathematical Society, 952134, Mathematics, 952136, Applied, 952154, Chaos & Systems, 952156, Geometry & Topology, 952170, Mathematical Analysis, 952212, Mathematical Physics, 952172, Number Systems, 952174, Pure Mathematics, 952208, Transformations, 952210, Trigonometry, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 956520, Algebraic Geometry, 956516, Geometry & Topology, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 15306811, Mathematics, 15306821, Algebra & Trigonometry, 15306831, Calculus, 15306841, Geometry, 15306851, Statistics, 15306801, Sciences, 15115321, Textbooks, 927726, Subjects, 916520, Books

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** Details of the book - An Introduction to the Theory of Special Divisors on Algebraic Curves (Cbms Regional Conference Series in Mathematics)**

EAN (ISBN-13): 9780821816943

ISBN (ISBN-10): 0821816942

Paperback

Publishing year: 1980

Publisher: American Mathematical Society

Book in our database since 18.10.2007 22:47:40

Book found last time on 06.06.2017 00:13:00

ISBN/EAN: 0821816942

ISBN - alternate spelling:

0-8218-1694-2, 978-0-8218-1694-3

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