**Homogeneous Spaces and Equivariant Embeddings**

by Dmitri A. Timashev

**Publisher**: arXiv 2006**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.

Download or read it online for free here:

**Download link**

(2.3MB, PDF)

## Similar books

**Classical Algebraic Geometry: A Modern View**

by

**Igor V. Dolgachev**-

**Cambridge University Press**

The main purpose of the present treatise is to give an account of some of the topics in algebraic geometry which while having occupied the minds of many mathematicians in previous generations have fallen out of fashion in modern times.

(

**6766**views)

**Introduction to Algebraic Geometry**

by

**Yuriy Drozd**

From the table of contents: Affine Varieties; Ideals and varieties. Hilbert's Basis Theorem. Regular functions and regular mappings. Projective and Abstract Varieties; Dimension Theory; Regular and singular points; Intersection theory.

(

**9693**views)

**Lectures on Algebraic Groups**

by

**Alexander Kleshchev**-

**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.

(

**10371**views)

**Current Topics in Complex Algebraic Geometry**

by

**Herbert Clemens, János Kollár**-

**Cambridge University Press**

The 1992/93 year at the Mathematical Sciences Research Institute was devoted to Complex Algebraic Geometry. This volume collects articles that arose from this event, which took place at a time when algebraic geometry was undergoing a major change.

(

**12086**views)