By János Kollár

The goal of this publication is to check numerous geometric homes and algebraic invariants of soft projective types with endless primary teams. This process allows a lot interaction among tools of algebraic geometry, complicated research, the speculation of harmonic maps, and topology. Making systematic use of Shafarevich maps, an idea formerly brought via the writer, this paintings isolates these kinds the place the elemental workforce affects international houses of the canonical class.

The e-book is basically aimed at researchers and graduate scholars in algebraic geometry who're drawn to the constitution and category thought of algebraic kinds. There are, even if, shows of many different purposes concerning different subject matters as well--such as Abelian kinds, theta services, and automorphic varieties on bounded domain names. The equipment are drawn from different assets, together with Atiyah's L2 -index theorem, Gromov's idea of Poincaré sequence, and up to date generalizations of Kodaira's vanishing theorem.

Originally released in 1995.

The Princeton Legacy Library makes use of the most recent print-on-demand expertise to back make to be had formerly out-of-print books from the prestigious backlist of Princeton collage Press. those paperback variants defend the unique texts of those very important books whereas offering them in sturdy paperback variants. The objective of the Princeton Legacy Library is to enormously raise entry to the wealthy scholarly historical past present in the hundreds of thousands of books released by way of Princeton college Press seeing that its founding in 1905.

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