Logo

Homogeneous Spaces and Equivariant Embeddings

Small book cover: Homogeneous Spaces and Equivariant Embeddings

Homogeneous Spaces and Equivariant Embeddings
by

Publisher: arXiv
Number of pages: 250

Description:
This is a monograph on homogeneous spaces of algebraic groups and their equivariant embeddings. Some results are supplied with proofs, while the other are cited with references to the original papers. Starting with basic properties of algebraic homogeneous spaces, the author focuses on homogeneous spaces of reductive groups and introduces two invariants: complexity and rank. He considers the Luna-Vust theory of equivariant embeddings, paying attention to the case of complexity not greater than one.

Home page url

Download or read it online for free here:
Download link
(2.3MB, PDF)

Similar books

Book cover: Quasi-Projective Moduli for Polarized ManifoldsQuasi-Projective Moduli for Polarized Manifolds
by - Springer
This book discusses two subjects of quite different nature: Construction methods for quotients of quasi-projective schemes by group actions or by equivalence relations and properties of direct images of certain sheaves under smooth morphisms.
(5854 views)
Book cover: Lectures on Algebraic GroupsLectures on Algebraic Groups
by - University of Oregon
Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.
(6066 views)
Book cover: Computations in Algebraic Geometry with Macaulay 2Computations in Algebraic Geometry with Macaulay 2
by - Springer
This book presents algorithmic tools for algebraic geometry and experimental applications of them. It also introduces a software system in which the tools have been implemented and with which the experiments can be carried out.
(5731 views)
Book cover: Algebraic Groups and Discontinuous SubgroupsAlgebraic Groups and Discontinuous Subgroups
by - American Mathematical Society
The book covers linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces, vector valued cohomology and deformation of discrete subgroups, etc.
(8930 views)