Author: Aleksandr V. PukhlikovPublisher:
ISBN:
Category :
Languages : en
Pages : 51
Book Description
Birationally Rigid Iterated Fano Double Covers
Author: Aleksandr V. PukhlikovPublisher:
ISBN:
Category :
Languages : en
Pages : 51
Book Description
Birationally Rigid Varieties
Author: Aleksandr V. PukhlikovPublisher: American Mathematical Soc.
ISBN: 0821894765
Category : Mathematics
Languages : en
Pages : 378
Book Description
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
Birationally rigid varieties with a pencil of Fano double covers
Author: Cohomological and Geometric Approaches to Rationality Problems
Author: Fedor BogomolovPublisher: Springer Science & Business Media
ISBN: 0817649344
Category : Mathematics
Languages : en
Pages : 316
Book Description
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: 
Author: 
Author: A. V. Pukhlikov
Author: 
Author: A. V. Pukhlikov
Author: Renzo John Mullany