Scrapbook of Complex Curve Theory

Herbert Clemens

ISBN 10: 0821833073 / ISBN 13: 9780821833070

Editore: American Mathematical Society, US, 2002

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This fine book by Herb Clemens quickly became a favorite of many algebraic geometers when it was first published in 1980. It has been popular with novices and experts ever since. It is written as a book of 'impressions' of a journey through the theory of complex algebraic curves. Many topics of compelling beauty occur along the way. A cursory glance at the subjects visited reveals a wonderfully eclectic selection, from conics and cubics to theta functions, Jacobians, and questions of moduli. By the end of the book, the theme of theta functions becomes clear, culminating in the Schottky problem. The author's intent was to motivate further study and to stimulate mathematical activity. The attentive reader will learn much about complex algebraic curves and the tools used to study them. The book can be especially useful to anyone preparing a course on the topic of complex curves or anyone interested in supplementing his/her reading.

Codice articolo LU-9780821833070

Dati bibliografici

• Titolo: Scrapbook of Complex Curve Theory
• Editore: American Mathematical Society, US
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 0821833073
• ISBN 13: 9780821833070
• Rilegatura: Hardback
• Edizione: 2nd.
• Condizione: New
• Dimensioni: 18,42 L x 1,27 A x 26,67 P centimetri 18,42 centimetri di larghezza per 1,27 centimetri di altezza per 26,67 centimetri di profondità
• Peso: 509 grammi

Descrizione articolo

Riassunto

First published in 1980, this monograph covers a range of basic issues in the classical subject of compact Riemann surfaces. The material was selected according to the author's fancy, but he identifies the theory of theta functions as a primary theme. Topics include conics, cubics, theta functions, the Jacobian variety, quartics and quintics, and the Schottky Relation. Although the work has not been revised, an addendum listing references to the subsequent literature has been provided. Annotation c. Book News, Inc., Portland, OR (booknews.com)