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Arithmetic Of Blowup Algebras
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Book Synopsis Arithmetic of Blowup Algebras by : Wolmer V. Vasconcelos
Download or read book Arithmetic of Blowup Algebras written by Wolmer V. Vasconcelos and published by Cambridge University Press. This book was released on 1994-02-25 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent developments in an important area of computational commutative algebra.
Book Synopsis Recent Developments in Commutative Algebra by : Claudia Polini
Download or read book Recent Developments in Commutative Algebra written by Claudia Polini and published by Springer Nature. This book was released on 2021-03-02 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations. Commutative Algebra has witnessed a number of spectacular developments in recent years, including the resolution of long-standing problems; the new techniques and perspectives are leading to an extraordinary transformation in the field. The material contained in this volume, based on lectures given at a workshop held in Levico Terme, Trento, in July 2019, highlights some of these developments. The text will be a valuable asset to graduate students and researchers in commutative algebra and related fields.
Book Synopsis Arithmetic Algebraic Geometry by : Brian David Conrad
Download or read book Arithmetic Algebraic Geometry written by Brian David Conrad and published by American Mathematical Soc.. This book was released on with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program was arithmetic algebraic geometry. The choice of lecture topics was heavily influenced by the recent spectacular work of Wiles on modular elliptic curves and Fermat's Last Theorem. The main emphasis of the articles in the volume is on elliptic curves, Galois representations, and modular forms. One lecture series offers an introduction to these objects. The others discuss selected recent results, current research, and open problems and conjectures. The book would be a suitable text for an advanced graduate topics course in arithmetic algebraic geometry.
Book Synopsis Number Theory and Algebraic Geometry by : Miles Reid
Download or read book Number Theory and Algebraic Geometry written by Miles Reid and published by Cambridge University Press. This book was released on 2003 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.
Book Synopsis Algebraic $K$-Theory, Commutative Algebra, and Algebraic Geometry by : R. Keith Dennis
Download or read book Algebraic $K$-Theory, Commutative Algebra, and Algebraic Geometry written by R. Keith Dennis and published by American Mathematical Soc.. This book was released on 1992 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the mid-1960's, several Italian mathematicians began to study the connections between classical arguments in commutative algebra and algebraic geometry, and the contemporaneous development of algebraic K-theory in the US. These connections were exemplified by the work of Andreotti-Bombieri, Salmon, and Traverso on seminormality, and by Bass-Murthy on the Picard groups of polynomial rings. Interactions proceeded far beyond this initial point to encompass Chow groups of singular varieties, complete intersections, and applications of K-theory to arithmetic and real geometry. This volume contains the proceedings from a US-Italy Joint Summer Seminar, which focused on this circle of ideas. The conference, held in June 1989 in Santa Margherita Ligure, Italy, was supported jointly by the Consiglio Nazionale delle Ricerche and the National Science Foundation. The book contains contributions from some of the leading experts in this area.
Book Synopsis Graded Algebras in Algebraic Geometry by : Aron Simis
Download or read book Graded Algebras in Algebraic Geometry written by Aron Simis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-03-21 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to look at certain commutative graded algebras that appear frequently in algebraic geometry. By studying classical constructions from geometry from the point of view of modern commutative algebra, this carefully-written book is a valuable source of information, offering a careful algebraic systematization and treatment of the problems at hand, and contributing to the study of the original geometric questions. In greater detail, the material covers aspects of rational maps (graph, degree, birationality, specialization, combinatorics), Cremona transformations, polar maps, Gauss maps, the geometry of Fitting ideals, tangent varieties, joins and secants, Aluffi algebras. The book includes sections of exercises to help put in practice the theoretic material instead of the mere complementary additions to the theory.
Book Synopsis Commutative Algebra by : David Eisenbud
Download or read book Commutative Algebra written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.
Book Synopsis Commutative Algebra by : Melvin Hochster
Download or read book Commutative Algebra written by Melvin Hochster and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: During late June and early July of 1987 a three week program (dubbed "microprogram") in Commutative Algebra was held at the Mathematical Sciences Research Institute at Berkeley. The intent of the microprogram was to survey recent major results and current trends in the theory of commutative rings, especially commutative Noetherian rings. There was enthusiastic international participation. The papers in this volume, some of which are expository, some strictly research, and some a combination, reflect the intent of the program. They give a cross-section of what is happening now in this area. Nearly all of the manuscripts were solicited from the speakers at the conference, and in most instances the manuscript is based on the conference lecture. The editors hope that they will be of interest and of use both to experts and neophytes in the field. The editors would like to express their appreciation to the director of MSRI, Professor Irving Kaplansky, who first suggested the possibility of such a conference and made the task of organization painless. We would also like to thank the IVISRI staff who were unfailingly efficient, pleasant, and helpful during the meeting, and the manager of MSRI, Arlene Baxter, for her help with this volume. Finally we would like to express our appreciation to David Mostardi who did much of the typing and put the electronic pieces together.
Book Synopsis Algebras and Their Arithmetics by : Leonard Eugene Dickson
Download or read book Algebras and Their Arithmetics written by Leonard Eugene Dickson and published by . This book was released on 1923 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monomial Algebras by : Rafael Villarreal
Download or read book Monomial Algebras written by Rafael Villarreal and published by CRC Press. This book was released on 2018-10-08 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monomial Algebras, Second Edition presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs. New to the Second Edition Four new chapters that focus on the algebraic properties of blowup algebras in combinatorial optimization problems of clutters and hypergraphs Two new chapters that explore the algebraic and combinatorial properties of the edge ideal of clutters and hypergraphs Full revisions of existing chapters to provide an up-to-date account of the subject Bringing together several areas of pure and applied mathematics, this book shows how monomial algebras are related to polyhedral geometry, combinatorial optimization, and combinatorics of hypergraphs. It directly links the algebraic properties of monomial algebras to combinatorial structures (such as simplicial complexes, posets, digraphs, graphs, and clutters) and linear optimization problems.
Book Synopsis Arithmetic of Diagonal Hypersurfaces Over Finite Fields by : Fernando Q. Gouvêa
Download or read book Arithmetic of Diagonal Hypersurfaces Over Finite Fields written by Fernando Q. Gouvêa and published by Cambridge University Press. This book was released on 1995-05-11 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the arithmetic of diagonal hypersurfaces over finite fields.
Download or read book Handbook of Algebra written by and published by Elsevier. This book was released on 2003-10-15 with total page 1184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra
Book Synopsis A Mathematical Introduction to String Theory by : Sergio Albeverio
Download or read book A Mathematical Introduction to String Theory written by Sergio Albeverio and published by Cambridge University Press. This book was released on 1997-07-17 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the mathematical aspects of string theory.
Book Synopsis Galois Representations in Arithmetic Algebraic Geometry by : A. J. Scholl
Download or read book Galois Representations in Arithmetic Algebraic Geometry written by A. J. Scholl and published by Cambridge University Press. This book was released on 1998-11-26 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'.
Book Synopsis Six Lectures on Commutative Algebra by : J. Elias
Download or read book Six Lectures on Commutative Algebra written by J. Elias and published by Springer Science & Business Media. This book was released on 1998-06-16 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in commutative algebra has surged over the past decades. In order to survey and highlight recent developments in this rapidly expanding field, the Centre de Recerca Matematica in Bellaterra organized a ten-days Summer School on Commutative Algebra in 1996. Lectures were presented by six high-level specialists, L. Avramov (Purdue), M.K. Green (UCLA), C. Huneke (Purdue), P. Schenzel (Halle), G. Valla (Genova) and W.V. Vasconcelos (Rutgers), providing a fresh and extensive account of the results, techniques and problems of some of the most active areas of research. The present volume is a synthesis of the lectures given by these authors. Research workers as well as graduate students in commutative algebra and nearby areas will find a useful overview of the field and recent developments in it. Reviews "All six articles are at a very high level; they provide a thorough survey of results and methods in their subject areas, illustrated with algebraic or geometric examples." - Acta Scientiarum Mathematicarum Avramov lecture: "... it contains all the major results [on infinite free resolutions], it explains carefully all the different techniques that apply, it provides complete proofs (...). This will be extremely helpful for the novice as well as the experienced." - Mathematical reviews Huneke lecture: "The topic is tight closure, a theory developed by M. Hochster and the author which has in a short time proved to be a useful and powerful tool. (...) The paper is extremely well organized, written, and motivated." - Zentralblatt MATH Schenzel lecture: "... this paper is an excellent introduction to applications of local cohomology." - Zentralblatt MATH Valla lecture: "... since he is an acknowledged expert on Hilbert functions and since his interest has been so broad, he has done a superb job in giving the readers a lively picture of the theory." - Mathematical reviews Vasconcelos lecture: "This is a very useful survey on invariants of modules over noetherian rings, relations between them, and how to compute them." - Zentralblatt MATH
Book Synopsis Ideal Theoretic Methods in Commutative Algebra by : Daniel Anderson
Download or read book Ideal Theoretic Methods in Commutative Algebra written by Daniel Anderson and published by CRC Press. This book was released on 2019-05-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes current work of 38 renowned contributors that details the diversity of thought in the fields of commutative algebra and multiplicative ideal theory. Summarizes recent findings on classes of going-down domains and the going-down property, emphasizing new characterizations and applications, as well as generalizations for commutative rings wi
Book Synopsis Commutative Algebra by : Irena Peeva
Download or read book Commutative Algebra written by Irena Peeva and published by Springer Nature. This book was released on 2022-02-18 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra. The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.
