Algebraic Transformation Groups and Algebraic Varieties

• Factoriality Of Certain Hypersurfaces Of P4 With Ordinary Double Points.- Boundedness For Low Codimensional Subvarieties.- Normality and Non Normality Of Certain Semigroups and Orbit Closures.- Deformation Rigidity Of the 20-dimensional F4-homogeneous Space Associated To a Short Root.- Severi-Brauer Varieties and Symmetric Powers.- Representation Theory and Projective Geometry.- Geometric Realization Of T-shaped Root Systems and Counterexamples To Hilbert’s Fourteenth Problem.- Self-dual Projective Algebraic Varieties Associated With Symmetric Spaces.- The Role Of Exotic Affine Spaces In the Classification Of Homogeneous Affine Varieties.- Hermitian Characteristics Of Nilpotent Elements.- Determinants Of Projective Varieties and Their Degrees.

"... 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