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Positivity in algebraic geometry I: classical setting line bundles and linear series
This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of...
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Lenguaje: | eng |
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Springer
2004
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Acceso en línea: | https://dx.doi.org/10.1007/978-3-642-18808-4 http://cds.cern.ch/record/2683138 |
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author | Lazarsfeld, R K |
author_facet | Lazarsfeld, R K |
author_sort | Lazarsfeld, R K |
collection | CERN |
description | This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II. |
id | cern-2683138 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2004 |
publisher | Springer |
record_format | invenio |
spelling | cern-26831382021-04-21T18:21:32Zdoi:10.1007/978-3-642-18808-4http://cds.cern.ch/record/2683138engLazarsfeld, R KPositivity in algebraic geometry I: classical setting line bundles and linear seriesMathematical Physics and MathematicsThis two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.Springeroai:cds.cern.ch:26831382004 |
spellingShingle | Mathematical Physics and Mathematics Lazarsfeld, R K Positivity in algebraic geometry I: classical setting line bundles and linear series |
title | Positivity in algebraic geometry I: classical setting line bundles and linear series |
title_full | Positivity in algebraic geometry I: classical setting line bundles and linear series |
title_fullStr | Positivity in algebraic geometry I: classical setting line bundles and linear series |
title_full_unstemmed | Positivity in algebraic geometry I: classical setting line bundles and linear series |
title_short | Positivity in algebraic geometry I: classical setting line bundles and linear series |
title_sort | positivity in algebraic geometry i: classical setting line bundles and linear series |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-3-642-18808-4 http://cds.cern.ch/record/2683138 |
work_keys_str_mv | AT lazarsfeldrk positivityinalgebraicgeometryiclassicalsettinglinebundlesandlinearseries |