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cover of the book Algebraic Transformation Groups and Algebraic Varieties: Proceedings of the conference Interesting Algebraic Varieties Arising in Algebraic Transformation Group Theory held at the Erwin Schrödinger Institute, Vienna, October 22–26, 2001

Ebook: Algebraic Transformation Groups and Algebraic Varieties: Proceedings of the conference Interesting Algebraic Varieties Arising in Algebraic Transformation Group Theory held at the Erwin Schrödinger Institute, Vienna, October 22–26, 2001

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"... 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




The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research. The contributors are all internationally well-known specialists, and hence the book will have great appeal to researchers and graduate students in mathematics and mathematical physics.




The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research. The contributors are all internationally well-known specialists, and hence the book will have great appeal to researchers and graduate students in mathematics and mathematical physics.


Content:
Front Matter....Pages I-XII
Factoriality Of Certain Hypersurfaces Of P4 With Ordinary Double Points....Pages 1-7
Boundedness For Low Codimensional Subvarieties....Pages 9-14
Normality and Non Normality Of Certain Semigroups and Orbit Closures....Pages 15-35
Deformation Rigidity Of the 20-dimensional F 4-homogeneous Space Associated To a Short Root....Pages 37-58
Severi—Brauer Varieties and Symmetric Powers....Pages 59-70
Representation Theory and Projective Geometry....Pages 71-122
Geometric Realization Of T-shaped Root Systems and Counterexamples To Hilbert’s Fourteenth Problem....Pages 123-129
Self-dual Projective Algebraic Varieties Associated With Symmetric Spaces....Pages 131-167
The Role Of Exotic Affine Spaces In the Classification Of Homogeneous Affine Varieties....Pages 169-175
Hermitian Characteristics Of Nilpotent Elements....Pages 177-206
Determinants of Projective Varieties and their Degrees....Pages 207-238


The book covers topics in the theory of algebraic transformation groups and algebraic varieties which are very much at the frontier of mathematical research. The contributors are all internationally well-known specialists, and hence the book will have great appeal to researchers and graduate students in mathematics and mathematical physics.


Content:
Front Matter....Pages I-XII
Factoriality Of Certain Hypersurfaces Of P4 With Ordinary Double Points....Pages 1-7
Boundedness For Low Codimensional Subvarieties....Pages 9-14
Normality and Non Normality Of Certain Semigroups and Orbit Closures....Pages 15-35
Deformation Rigidity Of the 20-dimensional F 4-homogeneous Space Associated To a Short Root....Pages 37-58
Severi—Brauer Varieties and Symmetric Powers....Pages 59-70
Representation Theory and Projective Geometry....Pages 71-122
Geometric Realization Of T-shaped Root Systems and Counterexamples To Hilbert’s Fourteenth Problem....Pages 123-129
Self-dual Projective Algebraic Varieties Associated With Symmetric Spaces....Pages 131-167
The Role Of Exotic Affine Spaces In the Classification Of Homogeneous Affine Varieties....Pages 169-175
Hermitian Characteristics Of Nilpotent Elements....Pages 177-206
Determinants of Projective Varieties and their Degrees....Pages 207-238
....
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