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By Takao Fujita

A polarised kind is a contemporary generalization of the inspiration of a range in classical algebraic geometry. It contains a couple: the algebraic sort itself, including an considerable line package on it. utilizing innovations from summary algebraic geometry which were constructed over contemporary many years, Professor Fujita develops category theories of such pairs utilizing invariants which are polarised higher-dimensional types of the genus of algebraic curves. the guts of the booklet is the idea of D-genus and sectional genus built through the writer, yet quite a few comparable subject matters are mentioned or surveyed. Proofs are given in complete within the crucial a part of the improvement, yet history 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 facility of recent summary recommendations utilized to concrete geometric difficulties. therefore the ebook is helping the reader not just to appreciate approximately classical gadgets but additionally glossy tools, and so it is going to be important not just for specialists but in addition non-specialists and graduate students.

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