Homogeneous Spaces and Equivariant Embeddings
by Dmitri A. Timashev
Publisher: arXiv 2006
Number of pages: 250
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:
by M. Douglas, J. Gauntlett, M. Gross - American Mathematical Society
This volume highlights the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform.
by Winfried Bruns, Udo Vetter - 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.
by Michael Artin - Tata Institute of Fundamental Research
These notes are based on a series of lectures given in 1973. The lectures are centered about the work of M. Scahlessinger and R. Elkik on infinitesimal deformations. Contents: Formal Theory and Computations; Elkik's Theorems on Algebraization.
by Joseph M. Landsberg - arXiv
Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, and more.