Birationally rigid varieties with a pencil of Fano double covers
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Author | : Aleksandr V. Pukhlikov |
Publisher | : American Mathematical Soc. |
Total Pages | : 378 |
Release | : 2013-05-15 |
Genre | : Mathematics |
ISBN | : 0821894765 |
Birational rigidity is a striking and mysterious phenomenon in higher-dimensional algebraic geometry. It turns out that certain natural families of algebraic varieties (for example, three-dimensional quartics) belong to the same classification type as the
Author | : Fedor Bogomolov |
Publisher | : Springer Science & Business Media |
Total Pages | : 316 |
Release | : 2009-11-03 |
Genre | : Mathematics |
ISBN | : 0817649344 |
Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. Such advances has led to many interdisciplinary applications to algebraic geometry. This comprehensive book consists of surveys of research papers by leading specialists in the field and gives indications for future research in rationality problems. Topics discussed include the rationality of quotient spaces, cohomological invariants of quasi-simple Lie type groups, rationality of the moduli space of curves, and rational points on algebraic varieties. This volume is intended for researchers, mathematicians, and graduate students interested in algebraic geometry, and specifically in rationality problems. Contributors: F. Bogomolov; T. Petrov; Y. Tschinkel; Ch. Böhning; G. Catanese; I. Cheltsov; J. Park; N. Hoffmann; S. J. Hu; M. C. Kang; L. Katzarkov; Y. Prokhorov; A. Pukhlikov
Author | : A. V. Pukhlikov |
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Total Pages | : 24 |
Release | : 2003 |
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Total Pages | : 666 |
Release | : 2007 |
Genre | : Mathematicians |
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Author | : Renzo John Mullany |
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Total Pages | : |
Release | : 2010 |
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Total Pages | : 678 |
Release | : 2009 |
Genre | : Mathematics |
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Total Pages | : 804 |
Release | : 2007 |
Genre | : Mathematics |
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Author | : Ivan Cheltsov |
Publisher | : CRC Press |
Total Pages | : 521 |
Release | : 2015-08-21 |
Genre | : Mathematics |
ISBN | : 1482251604 |
Cremona Groups and the Icosahedron focuses on the Cremona groups of ranks 2 and 3 and describes the beautiful appearances of the icosahedral group A5 in them. The book surveys known facts about surfaces with an action of A5, explores A5-equivariant geometry of the quintic del Pezzo threefold V5, and gives a proof of its A5-birational rigidity.The a
Author | : Alessio Corti |
Publisher | : Cambridge University Press |
Total Pages | : 364 |
Release | : 2000-07-27 |
Genre | : Mathematics |
ISBN | : 9780521636414 |
This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.