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

Griffiths, Phillip

Softcover

ISBN 10: 0821816942 ISBN 13: 9780821816943

Verlag: American Mathematical Society, 1980

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 1980
• Sprache: Englisch
• ISBN 10: 0821816942
• ISBN 13: 9780821816943
• Einband: Tapa blanda
• Anzahl der Seiten: 25
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar