Geometry Topology

Download Classification Theory of Polarized Varieties (London by Takao Fujita PDF

By Takao Fujita

A polarised style is a latest generalization of the thought of a spread in classical algebraic geometry. It comprises a couple: the algebraic sort itself, including an considerable line package on it. utilizing recommendations from summary algebraic geometry which were built over contemporary 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 guts of the ebook is the speculation of D-genus and sectional genus constructed by means of the writer, yet a variety of comparable subject matters are mentioned or surveyed. Proofs are given in complete within the principal a part of the advance, yet historical past and technical effects are often simply sketched while the main points aren't crucial for realizing the most important rules. Readers are assumed to have a few heritage in algebraic geometry, together with sheaf cohomology, and for them this paintings will supply a demonstration of the ability of recent summary thoughts utilized to concrete geometric difficulties. hence the ebook is helping the reader not just to appreciate approximately classical gadgets but additionally sleek equipment, and so will probably be priceless not just for specialists but additionally non-specialists and graduate students.

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