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Arithmetically Cohen Macaulay Sets Of Points In P1 X P1
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Book Synopsis Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1 by : Elena Guardo
Download or read book Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1 written by Elena Guardo and published by Birkhäuser. This book was released on 2015-11-25 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are reviewed first, followed by the basic properties of points in P^1 x P^1, the bigraded Hilbert function, and ACM sets of points. The authors then show how, using a combinatorial description of ACM points in P^1 x P^1, the bigraded Hilbert function can be computed and, as a result, solve the interpolation problem. In subsequent chapters, they consider fat points and double points in P^1 x P^1 and demonstrate how to use their results to answer questions and problems of interest in commutative algebra. Throughout the book, chapters end with a brief historical overview, citations of related results, and, where relevant, open questions that may inspire future research. Graduate students and researchers working in algebraic geometry and commutative algebra will find this book to be a valuable contribution to the literature.
Book Synopsis Algebraic Structures and Their Representations by : José Antonio de la Peña
Download or read book Algebraic Structures and Their Representations written by José Antonio de la Peña and published by American Mathematical Soc.. This book was released on 2005 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Latin-American conference on algebra, the XV Coloquio Latinoamericano de Algebra (Cocoyoc, Mexico), consisted of plenary sessions of general interest and special sessions on algebraic combinatorics, associative rings, cohomology of rings and algebras, commutative algebra, group representations, Hopf algebras, number theory, quantum groups, and representation theory of algebras. This proceedings volume contains original research papers related to talks at the colloquium. In addition, there are several surveys presenting important topics to a broad mathematical audience. There are also two invited papers by Raymundo Bautista and Roberto Martinez, founders of the Mexican school of representation theory of algebras. The book is suitable for graduate students and researchers interested in algebra.
Book Synopsis Mathematical Aspects of Computer and Information Sciences by : Ilias S. Kotsireas
Download or read book Mathematical Aspects of Computer and Information Sciences written by Ilias S. Kotsireas and published by Springer. This book was released on 2016-04-16 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2015, held in Berlin, Germany, in November 2015. The 48 revised papers presented together with 7 invited papers were carefully reviewed and selected from numerous submissions. The papers are grouped in topical sections on curves and surfaces, applied algebraic geometry, cryptography, verified numerical computation, polynomial system solving, managing massive data, computational theory of differential and difference equations, data and knowledge exploration, algorithm engineering in geometric computing, real complexity: theory and practice, global optimization, and general session.
Book Synopsis Zero-Dimensional Schemes by : Ferruccio Orecchia
Download or read book Zero-Dimensional Schemes written by Ferruccio Orecchia and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-11-21 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Book Synopsis Deformation of Artinian Algebras and Jordan Type by : Anthony Iarrobino
Download or read book Deformation of Artinian Algebras and Jordan Type written by Anthony Iarrobino and published by American Mathematical Society. This book was released on 2024-09-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS-EMS-SMF Special Session on Deformations of Artinian Algebras and Jordan Type, held July 18?22, 2022, at the Universit‚ Grenoble Alpes, Grenoble, France. Articles included are a survey and open problems on deformations and relation to the Hilbert scheme; a survey of commuting nilpotent matrices and their Jordan type; and a survey of Specht ideals and their perfection in the two-rowed case. Other articles treat topics such as the Jordan type of local Artinian algebras, Waring decompositions of ternary forms, questions about Hessians, a geometric approach to Lefschetz properties, deformations of codimension two local Artin rings using Hilbert-Burch matrices, and parametrization of local Artinian algebras in codimension three. Each of the articles brings new results on the boundary of commutative algebra and algebraic geometry.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Ştefan Ovidiu I. Tohăneanu Publisher :Walter de Gruyter GmbH & Co KG ISBN 13 :3111215385 Total Pages :357 pages Book Rating :4.1/5 (112 download)
Book Synopsis Commutative Algebra Methods for Coding Theory by : Ştefan Ovidiu I. Tohăneanu
Download or read book Commutative Algebra Methods for Coding Theory written by Ştefan Ovidiu I. Tohăneanu and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to be a comprehensive treatise on the interactions between Coding Theory and Commutative Algebra. With the help of a multitude of examples, it expands and systematizes the known and versatile commutative algebraic framework used, since the early 90’s, to study linear codes. The book provides the necessary background for the reader to advance with similar research on coding theory topics from commutative algebraic perspectives.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2002 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Determinantal Ideals by : Rosa M. Miró-Roig
Download or read book Determinantal Ideals written by Rosa M. Miró-Roig and published by Springer Science & Business Media. This book was released on 2007-12-31 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive overview of determinantal ideals includes an analysis of the latest results. Following the carefully structured presentation, you’ll develop new insights into addressing and solving open problems in liaison theory and Hilbert schemes. Three principal problems are addressed in the book: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and unobstructedness and dimension of families of standard determinantal ideals. The author, Rosa M. Miro-Roig, is the winner of the 2007 Ferran Sunyer i Balaguer Prize.
Download or read book Algebraic Geometry written by L. Badescu and published by Springer. This book was released on 2006-11-14 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society
Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2006 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Beiträge Zur Algebra und Geometrie by :
Download or read book Beiträge Zur Algebra und Geometrie written by and published by . This book was released on 2006 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Journal of mathematics of Kyoto University by : Kyōto Daigaku
Download or read book Journal of mathematics of Kyoto University written by Kyōto Daigaku and published by . This book was released on 1961 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rendiconti di matematica e delle sue applicazioni by : Istituto nazionale di alta matematica (Italy)
Download or read book Rendiconti di matematica e delle sue applicazioni written by Istituto nazionale di alta matematica (Italy) and published by . This book was released on 1999 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Geometry of Schemes by : David Eisenbud
Download or read book The Geometry of Schemes written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
Book Synopsis Algebraic Geometry and Arithmetic Curves by : 刘擎
Download or read book Algebraic Geometry and Arithmetic Curves written by 刘擎 and published by Oxford Graduate Texts in Mathe. This book was released on 2002 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the author's course for first-year students this well-written text explains how the tools of algebraic geometry and of number theory can be applied to a study of curves. The book starts by introducing the essential background material and includes 600 exercises.
