**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

**Stacks Project**

by

**Johan de Jong, et al.**

The stacks project aims to build up enough basic algebraic geometry as foundations for algebraic stacks. This implies a good deal of theory on commutative algebra, schemes, varieties, algebraic spaces, has to be developed en route.

(

**5208**views)

**Quasi-Projective Moduli for Polarized Manifolds**

by

**Eckart Viehweg**-

**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.

(

**6316**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.

(

**9426**views)

**Introduction to Projective Varieties**

by

**Enrique Arrondo**-

**Universidad Complutense de Madrid**

The scope of these notes is to present a soft and practical introduction to algebraic geometry, i.e. with very few algebraic requirements but arriving soon to deep results and concrete examples that can be obtained 'by hand'.

(

**5230**views)