Homogeneous Spaces and Equivariant Embeddings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Homogeneous Spaces and Equivariant Embeddings write by D.A. Timashev. This book was released on 2011-04-06. Homogeneous Spaces and Equivariant Embeddings available in PDF, EPUB and Kindle. Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory. By standard reasons of algebraic geometry, in order to solve various problems on a homogeneous space, it is natural and helpful to compactify it while keeping track of the group action, i.e., to consider equivariant completions or, more generally, open embeddings of a given homogeneous space. Such equivariant embeddings are the subject of this book. We focus on the classification of equivariant embeddings in terms of certain data of "combinatorial" nature (the Luna-Vust theory) and description of various geometric and representation-theoretic properties of these varieties based on these data. The class of spherical varieties, intensively studied during the last three decades, is of special interest in the scope of this book. Spherical varieties include many classical examples, such as Grassmannians, flag varieties, and varieties of quadrics, as well as well-known toric varieties. We have attempted to cover most of the important issues, including the recent substantial progress obtained in and around the theory of spherical varieties.
Lie Groups and Invariant Theory
Lie Groups and Invariant Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Groups and Invariant Theory write by Ėrnest Borisovich Vinberg. This book was released on 2005. Lie Groups and Invariant Theory available in PDF, EPUB and Kindle. This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.
Interactions with Lattice Polytopes
Interactions with Lattice Polytopes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Interactions with Lattice Polytopes write by Alexander M. Kasprzyk. This book was released on 2022-06-08. Interactions with Lattice Polytopes available in PDF, EPUB and Kindle. This book collects together original research and survey articles highlighting the fertile interdisciplinary applications of convex lattice polytopes in modern mathematics. Covering a diverse range of topics, including algebraic geometry, mirror symmetry, symplectic geometry, discrete geometry, and algebraic combinatorics, the common theme is the study of lattice polytopes. These fascinating combinatorial objects are a cornerstone of toric geometry and continue to find rich and unforeseen applications throughout mathematics. The workshop Interactions with Lattice Polytopes assembled many top researchers at the Otto-von-Guericke-Universität Magdeburg in 2017 to discuss the role of lattice polytopes in their work, and many of their presented results are collected in this book. Intended to be accessible, these articles are suitable for researchers and graduate students interested in learning about some of the wide-ranging interactions of lattice polytopes in pure mathematics.
Cox Rings
Cox Rings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cox Rings write by Ivan Arzhantsev. This book was released on 2015. Cox Rings available in PDF, EPUB and Kindle. This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.
Surveys in Geometry and Number Theory
Surveys in Geometry and Number Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Surveys in Geometry and Number Theory write by Nicholas Young. This book was released on 2007-01-18. Surveys in Geometry and Number Theory available in PDF, EPUB and Kindle. A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.
