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Classification theories 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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1990.
|
| Colección: | London Mathematical Society lecture note series ;
155. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Fujita, Takao. | |
| 245 | 1 | 0 | |a Classification theories of polarized varieties / |c Takao Fujita. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1990. | ||
| 300 | |a 1 online resource (xiv, 205 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 155 | |
| 504 | |a Includes bibliographical references (pages 184-201) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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 surveyed. Proofs are given in full in the central part of the development, but background and technical results are sometimes just sketched when the details are not essential for understanding the key ideas. Readers are assumed to have some background in algebraic geometry, including sheaf cohomology, and for them this work will provide an illustration of the power of modern abstract techniques applied to concrete geometric problems. Thus the book helps the reader not only to understand about classical objects but also modern methods, and so it will be useful not only for experts but also non-specialists and graduate students. | ||
| 505 | 8 | |a 16. Castelnuovo bounds17. Varieties of small degrees; 18. Adjunction theories; Chapter IV. Related Topics and Generalizations; 19. Singular and quasi- polarized varieties; 20. Ample vector bundles; 21. Computer-aided enumeration of ruled polarized surfaces of a fixed sectional genus; References; Subject Index | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Algebraic varieties |x Classification theory. | |
| 650 | 6 | |a Variétés algébriques |x Classification. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a Algebraic varieties |x Classification theory |2 fast | |
| 650 | 7 | |a Projektive Mannigfaltigkeit |2 gnd | |
| 650 | 7 | |a Klassifikationstheorie |2 gnd | |
| 650 | 7 | |a Polarisierte Mannigfaltigkeit |2 gnd | |
| 650 | 7 | |a Klassifikation |2 gnd | |
| 650 | 1 | 7 | |a Classificatietheorie. |2 gtt |
| 650 | 7 | |a Variedades algébricas. |2 larpcal | |
| 650 | 7 | |a Variétés algébriques |x Classification. |2 ram | |
| 740 | 0 | |a Polarized varieties. | |
| 776 | 0 | 8 | |i Print version: |a Fujita, Takao. |t Classification theories of polarized varieties. |d Cambridge ; New York : Cambridge University Press, 1990 |z 0521392020 |w (DLC) 91104671 |w (OCoLC)22399547 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 155. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552489 |z Texto completo |
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