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: Lectures On Old And New Results On Algebraic CurvesLectures On Old And New Results On Algebraic Curves
by - Tata Institute Of Fundamental Research
The aim of this text is to give a proof, due to Hans Grauert, of an analogue of Mordell's conjecture. Contents: Introduction; Algebro-Geometric Background; Algebraic Curves; The Theorem of Grauert (Mordell's conjecture for function fields).
(6242 views)
Book cover: Determinantal RingsDeterminantal Rings
by - Springer
Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. The book gives a coherent treatment of the structure of determinantal rings. The approach is via the theory of algebras with straightening law.
(7186 views)
Book cover: Algebraic GeometryAlgebraic Geometry
by
These notes are an introduction to the theory of algebraic varieties. In contrast to most such accounts they study abstract algebraic varieties, not just subvarieties of affine and projective space. This approach leads naturally to scheme theory.
(11437 views)
Book cover: Complex Analytic and Differential GeometryComplex Analytic and Differential Geometry
by - Universite de Grenoble
Basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences, Hermitian vector bundles, Hodge theory, positive vector bundles, etc.
(13286 views)