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: Abel's Theorem and the Allied TheoryAbel's Theorem and the Allied Theory
by - Cambridge University Press
This classic book covers the whole of algebraic geometry and associated theories. Baker discusses the subject in terms of transcendental functions, and theta functions in particular. Many of the ideas put forward are of continuing relevance today.
(4645 views)
Book cover: Algebraic GeometryAlgebraic Geometry
by - University of Kaiserslautern
From the contents: Introduction; Affine varieties; Functions, morphisms, and varieties; Projective varieties; Dimension; Schemes; First applications of scheme theory; More about sheaves; Cohomology of sheaves; Intersection theory; Chern classes.
(10766 views)
Book cover: Modular Functions and Modular FormsModular Functions and Modular Forms
by
This is an introduction to the arithmetic theory of modular functions and modular forms, with an emphasis on the geometry. Prerequisites are the algebra and complex analysis usually covered in advanced undergraduate or first-year graduate courses.
(9971 views)
Book cover: Geometric Complexity Theory: An Introduction for GeometersGeometric Complexity Theory: An Introduction for Geometers
by - arXiv
This is survey of recent developments in, and a tutorial on, the approach to P v. NP and related questions called Geometric Complexity Theory. The article is written to be accessible to graduate students. Numerous open questions are presented.
(5498 views)