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Classification theory of polarized varieties

A polarised variety is a modern generalization of the notion of a variety in classical algebraic geometry. It consists of a pair: the algebraic variety itself, together with an ample line bundle on it. Using techniques from abstract algebraic geometry that have been developed over recent decades, Pr...

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Detalles Bibliográficos
Autor principal: Fujita, Takao
Lenguaje:eng
Publicado: Cambridge University Press 1990
Materias:
Acceso en línea:http://cds.cern.ch/record/1619206
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author Fujita, Takao
author_facet Fujita, Takao
author_sort Fujita, Takao
collection CERN
description A polarised variety is a modern generalization of the notion of a variety in classical algebraic geometry. It consists of a pair: the algebraic variety itself, together with an ample line bundle on it. Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of such pairs using invariants that are polarised higher-dimensional versions of the genus of algebraic curves. The heart of the book is the theory of D-genus and sectional genus developed by the author, but numerous related topics are discussed or sur
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institution Organización Europea para la Investigación Nuclear
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publishDate 1990
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spelling cern-16192062021-04-21T21:56:18Zhttp://cds.cern.ch/record/1619206engFujita, TakaoClassification theory of polarized varietiesMathematical Physics and Mathematics A polarised variety is a modern generalization of the notion of a variety in classical algebraic geometry. It consists of a pair: the algebraic variety itself, together with an ample line bundle on it. Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of such pairs using invariants that are polarised higher-dimensional versions of the genus of algebraic curves. The heart of the book is the theory of D-genus and sectional genus developed by the author, but numerous related topics are discussed or surCambridge University Pressoai:cds.cern.ch:16192061990
spellingShingle Mathematical Physics and Mathematics
Fujita, Takao
Classification theory of polarized varieties
title Classification theory of polarized varieties
title_full Classification theory of polarized varieties
title_fullStr Classification theory of polarized varieties
title_full_unstemmed Classification theory of polarized varieties
title_short Classification theory of polarized varieties
title_sort classification theory of polarized varieties
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1619206
work_keys_str_mv AT fujitatakao classificationtheoryofpolarizedvarieties