Author : Ivan Arzhantsev
Publisher : Cambridge University Press
Page : 539 pages
File Size : 41,87 MB
Release : 2015
Category : Mathematics
ISBN : 1107024625
This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.
Author : Lucia Caporaso
Publisher : Cambridge University Press
Page : 437 pages
File Size : 42,66 MB
Release : 2012-03-19
Category : Mathematics
ISBN : 052176825X
This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.
Author : Jens Carsten Jantzen
Publisher : American Mathematical Soc.
Page : 652 pages
File Size : 42,59 MB
Release : 2003-01-01
Category : Mathematics
ISBN : 9780821835272
Now back in print by the AMS, this is a significantly revised edition of a book originally published in 1987 by Academic Press. This book gives the reader an introduction to the theory of algebraic representations of reductive algebraic groups. To develop appropriate techniques, the first part of the book is an introduction to the general theory of representations of algebraic group schemes. Here, the author describes important basic notions: induction functors, cohomology,quotients, Frobenius kernels, and reduction mod $p$, among others. The second part of the book is devoted to the representation theory of reductive algebraic groups. It includes topics such as the description of simple modules, vanishing theorems, the Borel-Bott-Weil theorem and Weyl's character formula, andSchubert schemes and line bundles on them. For this revised edition the author added nearly 150 pages of new material describing some later developments, among them Schur algebras, Lusztig's conjecture and Kazhdan-Lusztig polynomials, tilting modules, and representations of quantum groups. He also made major revisions to parts of the old text. Jantzen's book continues to be the ultimate source of information on representations of algebraic groups in finite characteristics. It is suitable forgraduate students and research mathematicians interested in algebraic groups and their representations.
Author : David A. Cox
Publisher : American Mathematical Society
Page : 870 pages
File Size : 36,38 MB
Release : 2024-06-25
Category : Mathematics
ISBN : 147047820X
Toric varieties form a beautiful and accessible part of modern algebraic geometry. This book covers the standard topics in toric geometry; a novel feature is that each of the first nine chapters contains an introductory section on the necessary background material in algebraic geometry. Other topics covered include quotient constructions, vanishing theorems, equivariant cohomology, GIT quotients, the secondary fan, and the minimal model program for toric varieties. The subject lends itself to rich examples reflected in the 134 illustrations included in the text. The book also explores connections with commutative algebra and polyhedral geometry, treating both polytopes and their unbounded cousins, polyhedra. There are appendices on the history of toric varieties and the computational tools available to investigate nontrivial examples in toric geometry. Readers of this book should be familiar with the material covered in basic graduate courses in algebra and topology, and to a somewhat lesser degree, complex analysis. In addition, the authors assume that the reader has had some previous experience with algebraic geometry at an advanced undergraduate level. The book will be a useful reference for graduate students and researchers who are interested in algebraic geometry, polyhedral geometry, and toric varieties.
Author : Michel Pairet
Publisher : Birkhäuser
Page : 255 pages
File Size : 23,25 MB
Release : 2012-12-06
Category : Medical
ISBN : 3034878796
COX-2 inhibitors are important drugs with analgesic and anti-inflammatory effects. The discovery of COX-2, the evolution of drug development in this field and the implications of these developments in patient therapy are topics of this volume. This book presents both pre-clinical and clinical information and is important for clinicians interested in the latest information about this class of drugs, for researchers and for students in the field.
Author : Adil Gani
Publisher : Springer Nature
Page : 441 pages
File Size : 21,81 MB
Release : 2021-02-11
Category : Technology & Engineering
ISBN : 3030270610
Food biopolymers: Structural, functional and nutraceutical properties provides valuable coverage of all major food biopolymers from plant, animal and marine sources. The text focuses on the structural characteristics of biopolymers including starch, non-starch polysaccharides, proteins and fats. A full section is dedicated to the nutraceutical potential and applications of these polymers. Further sections provide comprehensive overviews of the development of functional food products and important data on biopolymer behavior and nutraceutical potential during processing. Researchers hoping to gain a basic understanding of the techno-functional, nutraceutical potential and applications of food biopolymers will find a singular source with this text. The first section of this work focuses on the the structure, functions, bioactivity and applications of starches. The next chapters cover non-starch polysaccharides. Further sections are dedicated to proteins, lipids and oils. A detailed overview is provided for each, followed by application procedures, specifics on individual types, proteins and enzymes, and nutraceutical properties. This work can be used as a singular source for all relevant information on food biopolymers and their structural and functional properties, including their potential to increase food quality, improve shelf life, and reduce pollution and waste in the food industry.
Author : David Eisenbud
Publisher : Cambridge University Press
Page : 633 pages
File Size : 13,15 MB
Release : 2016-04-14
Category : Mathematics
ISBN : 1107017084
3264, the mathematical solution to a question concerning geometric figures.
Author : Ron Goldman
Publisher : American Mathematical Soc.
Page : 378 pages
File Size : 46,84 MB
Release : 2003
Category : Mathematics
ISBN : 0821834207
Algebraic geometry and geometric modeling both deal with curves and surfaces generated by polynomial equations. Algebraic geometry investigates the theoretical properties of polynomial curves and surfaces; geometric modeling uses polynomial, piecewise polynomial, and rational curves and surfaces to build computer models of mechanical components and assemblies for industrial design and manufacture. The NSF sponsored the four-day ''Vilnius Workshop on Algebraic Geometry and Geometric Modeling'', which brought together some of the top experts in the two research communities to examine a wide range of topics of interest to both fields. This volume is an outgrowth of that workshop. Included are surveys, tutorials, and research papers. In addition, the editors have included a translation of Minding's 1841 paper, ''On the determination of the degree of an equations obtained by elimination'', which foreshadows the modern application of mixed volumes in algebraic geometry. The volume is suitable for mathematicians, computer scientists, and engineers interested in applications of algebraic geometry to geometric modeling.
Author : Scott T. Chapman
Publisher : CRC Press
Page : 410 pages
File Size : 26,98 MB
Release : 2005-03-01
Category : Mathematics
ISBN : 1420028243
The study of nonunique factorizations of elements into irreducible elements in commutative rings and monoids has emerged as an independent area of research only over the last 30 years and has enjoyed a recent flurry of activity and advancement. This book presents the proceedings of two recent meetings that gathered key researchers from around the w
Author : Uwe Nagel
Publisher : Springer Nature
Page : 234 pages
File Size : 16,31 MB
Release : 2024
Category : Algebraic topology
ISBN : 9819738865
The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds. Recent developments have demonstrated important cases of the Lefschetz property beyond the original geometric settings, such as Coxeter groups or matroids. Furthermore, there are connections to other branches of mathematics, for example, commutative algebra, algebraic topology, and combinatorics. Important results in this area have been obtained by finding unexpected connections between apparently different topics. A conference in Cortona, Italy in September 2022 brought together researchers discussing recent developments and working on new problems related to the Lefschetz properties. The book will feature surveys on several aspects of the theory as well as articles on new results and open problems.
