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*Bulletin of the American Mathematical Society*Editions

The book is primarily geared toward researchers and graduate students in algebraic geometry who are interested in the structure and classification theory of algebraic varieties. There are, however, presentations of many other applications involving other topics as well--such as Abelian varieties, theta functions, and automorphic forms on bounded domains. The methods are drawn from diverse sources, including Atiyah's *L2 *-index theorem, Gromov's theory of Poincaré series, and recent generalizations of Kodaira's vanishing theorem.

Originally published in 1995.

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