New PDF release: Classification Theory of Polarized Varieties (London

By Takao Fujita

A polarised style is a latest generalization of the thought of a spread in classical algebraic geometry. It includes a couple: the algebraic type itself, including an considerable line package on it. utilizing ideas from summary algebraic geometry which were constructed over fresh many years, Professor Fujita develops category theories of such pairs utilizing invariants which are polarised higher-dimensional models of the genus of algebraic curves. the center of the e-book is the idea of D-genus and sectional genus constructed via the writer, yet a variety of comparable issues are mentioned or surveyed. Proofs are given in complete within the important a part of the advance, yet historical past and technical effects are often simply sketched while the main points should not crucial for realizing the major rules. Readers are assumed to have a few historical past in algebraic geometry, together with sheaf cohomology, and for them this paintings will offer an indication of the facility of contemporary summary recommendations utilized to concrete geometric difficulties. hence the ebook is helping the reader not just to appreciate approximately classical gadgets but in addition glossy equipment, and so it will likely be important not just for specialists but in addition non-specialists and graduate students.

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Classification Theory of Polarized Varieties (London Mathematical Society Lecture Note Series) by Takao Fujita

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