A group of Gerry Schwarz’s colleagues and collaborators gathered at the Fields Institute in Toronto for a mathematical festschrift in honor of his 60th birthday. This volume is an outgrowth of that event, covering the wide range of mathematics to which Gerry Schwarz has either made fundamental contributions or stimulated others to pursue. The articles are a sampling of modern day algebraic geometry with associated group actions from its leading experts, with a particular focus on characteristic 0 and modular invariant theory.
Contributors:
M. Brion
A. Broer
D. Daigle
J. Elmer
P. Fleischmann
G. Freudenberg
D. Greb
P. Heinzner
A. Helminck
B. Kostant
H. Kraft
R. J. Shank
W. Traves
N. R. Wallach
D. Wehlau
Author(s): Michel Brion (auth.), H. E. A. Campbell, Aloysius G. Helminck, Hanspeter Kraft, David Wehlau (eds.)
Series: Progress in Mathematics 278
Edition: 1
Publisher: Birkhäuser Basel
Year: 2010
Language: English
Pages: 207
Tags: Algebraic Geometry; Commutative Rings and Algebras; Field Theory and Polynomials
Front Matter....Pages 1-16
Some Basic Results on Actions of Nonaffine Algebraic Groups....Pages 1-20
On Chevalley–Shephard–Todd’s Theorem in Positive Characteristic....Pages 21-34
Families of Affine Fibrations....Pages 35-43
On the Depth of Modular Invariant Rings for the Groups C p × C p ....Pages 45-61
Kählerian Reduction in Steps....Pages 63-82
On Orbit Decompositions for Symmetric k -Varieties....Pages 83-127
Root Systems for Levi Factors and Borel–de Siebenthal Theory....Pages 129-152
Polarizations and Nullcone of Representations of Reductive Groups....Pages 153-167
Decomposing Symmetric Powers of Certain Modular Representations of Cyclic Groups....Pages 169-196
Differential Operators on Grassmann Varieties....Pages 197-207
