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Author : G. Kempf
Publisher : Springer
ISBN 13 : 3540377557
Total Pages : 220 pages
Book Rating : 4.5/5 (43 download)
Download or read book Toroidal Embeddings 1 written by G. Kempf and published by Springer. This book was released on 2006-11-15 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George Rushing Kempf
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (622 download)
Download or read book Toroidal embeddings written by George Rushing Kempf and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Kempf
Publisher :
ISBN 13 : 9783662187104
Total Pages : 220 pages
Book Rating : 4.1/5 (871 download)
Download or read book Toroidal Embeddings 1 written by G. Kempf and published by . This book was released on 2014-01-15 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D.A. Timashev
Publisher : Springer Science & Business Media
ISBN 13 : 3642183999
Total Pages : 267 pages
Book Rating : 4.6/5 (421 download)
Download or read book Homogeneous Spaces and Equivariant Embeddings written by D.A. Timashev and published by Springer Science & Business Media. This book was released on 2011-04-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Tadao Oda
Publisher :
ISBN 13 :
Total Pages : 718 pages
Book Rating : 4.:/5 (321 download)
Download or read book Lectures on Torus Embeddings and Applications written by Tadao Oda and published by . This book was released on 1978 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kai-Wen Lan
Publisher : Princeton University Press
ISBN 13 : 1400846013
Total Pages : 584 pages
Book Rating : 4.4/5 (8 download)
Download or read book Arithmetic Compactifications of PEL-Type Shimura Varieties written by Kai-Wen Lan and published by Princeton University Press. This book was released on 2013-03-21 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments. The book is designed to be accessible to graduate students who have an understanding of schemes and abelian varieties. PEL-type Shimura varieties, which are natural generalizations of modular curves, are useful for studying the arithmetic properties of automorphic forms and automorphic representations, and they have played important roles in the development of the Langlands program. As with modular curves, it is desirable to have integral models of compactifications of PEL-type Shimura varieties that can be described in sufficient detail near the boundary. This book explains in detail the following topics about PEL-type Shimura varieties and their compactifications: A construction of smooth integral models of PEL-type Shimura varieties by defining and representing moduli problems of abelian schemes with PEL structures An analysis of the degeneration of abelian varieties with PEL structures into semiabelian schemes, over noetherian normal complete adic base rings A construction of toroidal and minimal compactifications of smooth integral models of PEL-type Shimura varieties, with detailed descriptions of their structure near the boundary Through these topics, the book generalizes the theory of degenerations of polarized abelian varieties and the application of that theory to the construction of toroidal and minimal compactifications of Siegel moduli schemes over the integers (as developed by Mumford, Faltings, and Chai).
Author : Wen-Wei Li
Publisher : Springer
ISBN 13 : 3030012883
Total Pages : 148 pages
Book Rating : 4.0/5 (3 download)
Download or read book Zeta Integrals, Schwartz Spaces and Local Functional Equations written by Wen-Wei Li and published by Springer. This book was released on 2018-11-02 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions. Developing a general framework that could accommodate Schwartz spaces and the corresponding zeta integrals, the author establishes a formalism, states desiderata and conjectures, draws implications from these assumptions, and shows how known examples fit into this framework, supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the included extensive bibliography, will be valuable to anyone who wishes to understand this program, and to those who are already working on it and want to overcome certain frequently occurring technical difficulties.
Author : Katsumi Nomizu
Publisher : American Mathematical Soc.
ISBN 13 : 9780821804452
Total Pages : 108 pages
Book Rating : 4.8/5 (44 download)
Download or read book Selected Papers on Number Theory and Algebraic Geometry written by Katsumi Nomizu and published by American Mathematical Soc.. This book was released on 1996 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents papers that originally appeared in the Japanese journal Sugaku from the Mathematical Society of Japan. The papers explore the relationship between number theory and algebraic geometry.
Author : Armand Borel
Publisher : Springer Science & Business Media
ISBN 13 : 0817644660
Total Pages : 477 pages
Book Rating : 4.8/5 (176 download)
Download or read book Compactifications of Symmetric and Locally Symmetric Spaces written by Armand Borel and published by Springer Science & Business Media. This book was released on 2006-07-25 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topological structures Relatively self-contained reference aimed at graduate students and research mathematicians interested in the applications of Lie theory and representation theory to analysis, number theory, algebraic geometry and algebraic topology
Author : William Kocay
Publisher : CRC Press
ISBN 13 : 1482251183
Total Pages : 566 pages
Book Rating : 4.4/5 (822 download)
Download or read book Graphs, Algorithms, and Optimization written by William Kocay and published by CRC Press. This book was released on 2016-11-03 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs.
Author : V. L. Popov
Publisher : American Mathematical Soc.
ISBN 13 : 082185335X
Total Pages : 256 pages
Book Rating : 4.8/5 (218 download)
Download or read book Groups, Generators, Syzygies, and Orbits in Invariant Theory written by V. L. Popov and published by American Mathematical Soc.. This book was released on 2011-01-05 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of invariant theory spans nearly a century and a half, with roots in certain problems from number theory, algebra, and geometry appearing in the work of Gauss, Jacobi, Eisenstein, and Hermite. Although the connection between invariants and orbits was essentially discovered in the work of Aronhold and Boole, a clear understanding of this connection had not been achieved until recently, when invariant theory was in fact subsumed by a general theory of algebraic groups. Written by one of the major leaders in the field, this book provides an excellent, comprehensive exposition of invariant theory. Its point of view is unique in that it combines both modern and classical approaches to the subject. The introductory chapter sets the historical stage for the subject, helping to make the book accessible to nonspecialists.
Author : David Bourqui
Publisher : World Scientific
ISBN 13 : 1786347210
Total Pages : 312 pages
Book Rating : 4.7/5 (863 download)
Download or read book Arc Schemes And Singularities written by David Bourqui and published by World Scientific. This book was released on 2020-03-05 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges are to understand the global and local structure of arc schemes, and how they relate to the nature of the singularities on the variety. Since the arc scheme is an infinite dimensional object, new tools need to be developed to give a precise meaning to the notion of a singular point of the arc scheme.Other related topics are also explored, including motivic integration and dual intersection complexes of resolutions of singularities. Written by leading international experts, it offers a broad overview of different applications of arc schemes in algebraic geometry, singularity theory and representation theory.
Author : Alexander M. Kasprzyk
Publisher : Springer Nature
ISBN 13 : 3030983277
Total Pages : 368 pages
Book Rating : 4.0/5 (39 download)
Download or read book Interactions with Lattice Polytopes written by Alexander M. Kasprzyk and published by Springer Nature. This book was released on 2022-06-08 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Russell Merris
Publisher : John Wiley & Sons
ISBN 13 : 1118031296
Total Pages : 258 pages
Book Rating : 4.1/5 (18 download)
Download or read book Graph Theory written by Russell Merris and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively invitation to the flavor, elegance, and power of graph theory This mathematically rigorous introduction is tempered and enlivened by numerous illustrations, revealing examples, seductive applications, and historical references. An award-winning teacher, Russ Merris has crafted a book designed to attract and engage through its spirited exposition, a rich assortment of well-chosen exercises, and a selection of topics that emphasizes the kinds of things that can be manipulated, counted, and pictured. Intended neither to be a comprehensive overview nor an encyclopedic reference, this focused treatment goes deeply enough into a sufficiently wide variety of topics to illustrate the flavor, elegance, and power of graph theory. Another unique feature of the book is its user-friendly modular format. Following a basic foundation in Chapters 1-3, the remainder of the book is organized into four strands that can be explored independently of each other. These strands center, respectively, around matching theory; planar graphs and hamiltonian cycles; topics involving chordal graphs and oriented graphs that naturally emerge from recent developments in the theory of graphic sequences; and an edge coloring strand that embraces both Ramsey theory and a self-contained introduction to Pólya's enumeration of nonisomorphic graphs. In the edge coloring strand, the reader is presumed to be familiar with the disjoint cycle factorization of a permutation. Otherwise, all prerequisites for the book can be found in a standard sophomore course in linear algebra. The independence of strands also makes Graph Theory an excellent resource for mathematicians who require access to specific topics without wanting to read an entire book on the subject.
Author : Kai-wen Lan
Publisher : #N/A
ISBN 13 : 9813207345
Total Pages : 580 pages
Book Rating : 4.8/5 (132 download)
Download or read book Compactifications Of Pel-type Shimura Varieties And Kuga Families With Ordinary Loci written by Kai-wen Lan and published by #N/A. This book was released on 2017-07-21 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles. The results in this book serve as the logical foundation of several recent developments in the theory of p-adic automorphic forms; and of the author's work with Harris, Taylor, and Thorne on the construction of Galois representations without any polarizability conditions, which is a major breakthrough in the Langlands program.This book is important for active researchers and graduate students who need to understand the above-mentioned recent works, and is written with such users of the theory in mind, providing plenty of explanations and background materials, which should be helpful for people working in similar areas. It also contains precise internal and external references, and an index of notation and terminologies. These are useful for readers to quickly locate materials they need.
Author : Giuseppe Liotta
Publisher : World Scientific
ISBN 13 : 9789812796608
Total Pages : 418 pages
Book Rating : 4.7/5 (966 download)
Download or read book Graph Algorithms and Applications 3 written by Giuseppe Liotta and published by World Scientific. This book was released on 2004-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains Volume 6 of the Journal of Graph Algorithms and Applications (JGAA) . JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications networks, user interfaces and visualization, and VLSI circuit design. Graph Algorithms and Applications 3 presents contributions from prominent authors and includes selected papers from the Symposium on Graph Drawing (1999 and 2000). All papers in the book have extensive diagrams and offer a unique treatment of graph algorithms focusing on the important applications. Contents: Triangle-Free Planar Graphs and Segment Intersection Graphs (N de Castro et al.); Traversing Directed Eulerian Mazes (S Bhatt et al.); A Fast Multi-Scale Method for Drawing Large Graphs (D Harel & Y Koren); GRIP: Graph Drawing with Intelligent Placement (P Gajer & S G Kobourov); Graph Drawing in Motion (C Friedrich & P Eades); A 6-Regular Torus Graph Family with Applications to Cellular and Interconnection Networks (M Iridon & D W Matula); and other papers. Readership: Researchers and practitioners in theoretical computer science, computer engineering, and combinatorics and graph theory.
Author : Anilatmaja Aryasomayajula
Publisher : Springer
ISBN 13 : 981105648X
Total Pages : 294 pages
Book Rating : 4.8/5 (11 download)
Download or read book Analytic and Algebraic Geometry written by Anilatmaja Aryasomayajula and published by Springer. This book was released on 2017-09-08 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad. There are fifteen articles in this volume. The main purpose of the articles is to introduce recent and advanced techniques in the area of analytic and algebraic geometry. This volume attempts to give recent developments in the area to target mainly young researchers who are new to this area. Also, some research articles have been added to give examples of how to use these techniques to prove new results.
