Synopses & Reviews
The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research.
"... This book gives a good flavour of some current research in algebraic transofrmation groups and their applications. ..." B.Martin, Newsletter of the New Zealand Mathematical Society, No. 93, April 2005
Table of Contents
Ciliberto, Di Gennaro: Factoriality of Certain Hypersurfaces of P^4 with Ordinary Double Points.- Ciliberto, Di Gennaro: Boundness for Low Codimensional Subvarieties.- De Concini: Normality and Non-Normality of Certain Semigroups and Orbit Closures.- Landsberg, Manivel: Representation Theory and Projective Geometry.- Hwang, Mok: Deformation Rigidity of the 20-Dimensional F_4-Homogeneous Space Associated to a Short Root.- Mukai: Geometric Realization of T-Shaped Root Systems and Counterexamples to Hilbert's Fourteenth Problem.- Krashen, Saltman: Severi-Brauer Varieties and Symmetric Powers.- Popov, Tevelev: Self-Dual Algebraic Varieties and Nilpotent Orbits in Symmetric Pairs.- Snow: The Role of Exotic Affine Spaces in the Classification of Homogeneous Affine Varieties.- Tevelev: Hermitian Characteristics of Nilpotent Elements.- Zak: Determinants of Projective Varieties and their Degrees.