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 an introduction to complex analytic geometry. Thus, he uses Hermitian geometry as much as possible. One distinguishing feature of Kempf's presentation is the systematic use of Mumford's theta group. This allows him to give precise results about the projective ideal of an abelian variety. In its detailed discussion of the cohomology of invertible sheaves, the book incorporates material previously found only in research articles. Also, several examples where abelian varieties arise in various branches of geometry are given as a conclusion of the book.
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Descripción Springer-Verlag, New York, NY, 1991. Softcover. Estado de conservación: Very good. 8vo. 100 pp. Yellow paper wrappers. Interior clean, bright and tight. A very nice copy. Our inventory is currently marked down 20% for our fall sale. Our online prices reflect this discount, and no further dealer discounts are available. Nº de ref. de la librería 48859
Descripción Springer-Verlag, 1991. Trade Paperback. Estado de conservación: Good. light soiling on cover. foxing on fore edge. slight musty smell. text is unmarked. binding tight. Nº de ref. de la librería 043831