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Kähler spaces, nilpotent orbits, and singular reduction
About this Title
Johannes Huebschmann
Publication: Memoirs of the American Mathematical Society
Publication Year:
2004; Volume 172, Number 814
ISBNs: 978-0-8218-3572-2 (print); 978-1-4704-0415-4 (online)
DOI: https://doi.org/10.1090/memo/0814
MathSciNet review: 2096203
MSC: Primary 53D20; Secondary 14L24, 14L30, 17B63, 17C36
Table of Contents
Chapters
- Introduction
- 1. Poisson algebras and Lie-Rinehart algebras
- 2. Stratified polarized spaces
- 3. The closure of a holomorphic nilpotent orbit
- 4. Reduction and stratified Kähler spaces
- 5. Associated representations and singular reduction
- 6. Associated representations for the remaining classical case
- 7. Hermitian Jordan triple systems and pre-homogeneous spaces
- 8. The exceptional cases
- 9. Contraction of semisimple holomorphic orbits
- 10. Projectivization and exotic projective varieties
- 11. Comparison with other notions of Kähler space with singularities