Complex Abelian Varieties and Theta Functions
George R. Kempf
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Description for Complex Abelian Varieties and Theta Functions
Paperback. Focuses on analytical aspects of the geometry of abelian varieties, in order to provide an introduction to complex analytic geometry. The text features the systematic use of Mumford's theta group, which allows the author to provide precise results about the projective ideal of an abelian variety. Series: Universitext. Num Pages: 114 pages, 1 black & white illustrations, biography. BIC Classification: PBMS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 242 x 170 x 10. Weight in Grams: 223.
Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves on them. Also, abelian varieties play a significant role in the geometric approach to modern algebraic number theory. In this book, Kempf has focused on the analytic aspects of the geometry of abelian varieties, rather than taking the alternative algebraic or arithmetic points of view. His purpose is to provide ... Read more
Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease. The use of theta functions, particularly since Mumford's work, has been an important tool in the study of abelian varieties and invertible sheaves on them. Also, abelian varieties play a significant role in the geometric approach to modern algebraic number theory. In this book, Kempf has focused on the analytic aspects of the geometry of abelian varieties, rather than taking the alternative algebraic or arithmetic points of view. His purpose is to provide ... Read more
Product Details
Format
Paperback
Publication date
1991
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
114
Condition
New
Series
Universitext
Number of Pages
105
Place of Publication
Berlin, Germany
ISBN
9783540531685
SKU
V9783540531685
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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