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Algebraic geometry V Fano varieties 1999th Edition by A N Parshin, I R Shafarevich, Yu G Prokhorov, S Tregub, V A Iskovskikh ISBN 3540614680 978-3540614685

SKU: BELL-2039280

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Algebraic geometry V Fano varieties 1999th Edition by A N Parshin, I R Shafarevich, Yu G Prokhorov, S Tregub, V A Iskovskikh ISBN 3540614680 978-3540614685 instant download after payment.

Publisher: Springer

File Extension: DJVU

File size: 2.24 MB

Pages: 250

Author: A.N. Parshin (editor), I.R. Shafarevich (editor), Yu.G. Prokhorov, Yu.G. Prokhorov, S. Tregub, V.A. Iskovskikh

ISBN: 9783540614685, 3540614680

Language: English

Year: 2001

Volume: 5

Product desciption

Algebraic geometry V Fano varieties 1999th Edition by A N Parshin, I R Shafarevich, Yu G Prokhorov, S Tregub, V A Iskovskikh ISBN 3540614680 978-3540614685 by A.n. Parshin (editor), I.r. Shafarevich (editor), Yu.g. Prokhorov, Yu.g. Prokhorov, S. Tregub, V.a. Iskovskikh 9783540614685, 3540614680 instant download after payment.

Algebraic geometry V Fano varieties 1999th Edition by A.N. Parshin, I.R. Shafarevich, Yu.G. Prokhorov, S. Tregub, V.A. Iskovskikh - Ebook PDF Instant Download/Delivery: 3540614680, 978-3540614685

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Product details:

ISBN 10: 3540614680

ISBN 13: 978-3540614685

Author: A.N. Parshin, I.R. Shafarevich, Yu.G. Prokhorov, S. Tregub, V.A. Iskovskikh

The aim of this survey, written by V.A. Iskovskikh and Yu.G. Prokhorov, is to provide an exposition of the structure theory of Fano varieties, i.e. algebraic vareties with an ample anticanonical divisor. Such varieties naturally appear in the birational classification of varieties of negative Kodaira dimension, and they are very close to rational ones. This EMS volume covers different approaches to the classification of Fano varieties such as the classical Fano-Iskovskikh "double projection" method and its modifications, the vector bundles method due to S. Mukai, and the method of extremal rays. The authors discuss uniruledness and rational connectedness as well as recent progress in rationality problems of Fano varieties. The appendix contains tables of some classes of Fano varieties.

This book will be very useful as a reference and research guide for researchers and graduate students in algebraic geometry.

Chapter 1. Preliminaries
Chapter 2. Basic Properties of Fano Varieties
Chapter 3. Del Pezzo Varieties and Fano Varieties of Large Index
Chapter 4. Fano Threefolds with ρ = 1
Chapter 5. Fano Varieties of Coindex 3 with ρ = 1: The Vector Bundle Method
Chapter 6. Boundedness and Rational Connectedness of Fano Varieties
Chapter 7. Fano Varieties with ρ > 2
Chapter 8. Rationality Questions for Fano Varieties I
Chapter 9. Rationality Questions for Fano Varieties II
Chapter 10. Some General Constructions of Rationality and Unirationality
Chapter 11. Particular Results and Open Problems
Chapter 12. Appendix: Tables

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Tags: A N Parshin, I R Shafarevich, Yu G Prokhorov, S Tregub, V A Iskovskikh, Algebraic Geometry, Fano Varieties