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Algebraic Geometry and Theta Functions
Arthur B. Coble

Colloquium Publications
1929; 282 pp; softcover
Volume: 10
Reprint/Revision History:
reprinted 1961; fourth printing with corrections 1982; ninth printing 1986
ISBN-10: 0-8218-4602-7
ISBN-13: 978-0-8218-4602-5
List Price: US$65
Member Price: US$52
Order Code: COLL/10
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This volume is an amplification of the Colloquium Lectures delivered under the title The Determination of the Tritangent Planes of the Space Sextic of Genus Four. In order to present clearly the state of that problem, a comparison with the better known cases of genus two and genus three is desirable. Preliminary chapters on algebraic geometry and theta functions are incorporated in order to facilitate reading by recalling fundamental ideas of these two subjects in such fashion as will be most helpful in later applications.


Graduate students and research mathematicians interested in algebraic geometry.

Table of Contents

  • Topics in algebraic geometry
  • Topics in theta functions
  • Geometric applications of the functions of genus two
  • Geometric applications of the functions of genus three
  • Geometric aspects of the abelian modular functions of genus four
  • Theta relations of genus four
  • References
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