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.
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