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Author : Richard Lyle Liebling
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.:/5 (33 download)
Download or read book Classification of Space Curves Using Initial Ideals written by Richard Lyle Liebling and published by . This book was released on 1996 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gunnar Fløystad
Publisher : American Mathematical Soc.
ISBN 13 : 0821808532
Total Pages : 82 pages
Book Rating : 4.8/5 (218 download)
Download or read book Higher Initial Ideals of Homogeneous Ideals written by Gunnar Fløystad and published by American Mathematical Soc.. This book was released on 1998 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Given a homogeneous ideal I and a monomial order, the initials ideal in (I) can be formed. The initial idea gives information about I, but quite a lot of information is also lost. The author remedies this by defining a series of higher initial ideals of a homogenous ideal, and considers the case when I is the homogenous ideal of a curve in P3 and the monomial order is reverse lexicographic. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Kristine Elizabeth Jones
Publisher :
ISBN 13 :
Total Pages : 121 pages
Book Rating : 4.:/5 (913 download)
Download or read book Generic Initial Ideals of Locally Cohen-Macaulay Space Curves written by Kristine Elizabeth Jones and published by . This book was released on 2013 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: We analyze the degree reverse lexicographic generic initial ideals of locally CohenMacaulay space curves and how they behave under biliaison. We provide a complete classification for both general members of componenets of the locally CohenMacaulay Hilbert scheme of degree three space curves for each genus and lower triangle diagrams with only one non-zero entry after a general change of coordinates. We also consider curves where a general hyperplane section has the same Hilbert function as a general hyperplane section of an extremal curve, giving special consideration to curves in double planes. We resolve the ideals of curves in double planes and give a symmetry condition on their triangle diagrams.
Author : J. Elias
Publisher : Springer Science & Business Media
ISBN 13 : 3034603290
Total Pages : 402 pages
Book Rating : 4.0/5 (346 download)
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 2010-03-17 with total page 402 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
Author : Juan C. Migliore
Publisher : Springer Science & Business Media
ISBN 13 : 1461217946
Total Pages : 218 pages
Book Rating : 4.4/5 (612 download)
Download or read book Introduction to Liaison Theory and Deficiency Modules written by Juan C. Migliore and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the fall of 1992 I was invited by Professor Changho Keem to visit Seoul National University and give a series of talks. I was asked to write a monograph based on my talks, and the result was published by the Global Analysis Research Center of that University in 1994. The monograph treated deficiency modules and liaison theory for complete intersections. Over the next several years I continually thought of improvements and additions that I would like to make to the manuscript, and at the same time my research led me in directions that gave me a fresh perspective on much of the material, especially in the direction of liaison theory. This re sulted in a dramatic change in the focus of this manuscript, from complete intersections to Gorenstein ideals, and a substantial amount of additions and revisions. It is my hope that this book now serves not only as an introduction to a beautiful subject, but also gives the reader a glimpse at very recent developments and an idea of the direction in which liaison theory is going, at least from my perspective. One theme which I have tried to stress is the tremendous amount of geometry which lies at the heart of the subject, and the beautiful interplay between algebra and geometry. Whenever possible I have given remarks and examples to illustrate this interplay, and I have tried to phrase the results in as geometric a way as possible.
Author :
Publisher :
ISBN 13 :
Total Pages : 830 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2001 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eugene V. Shikin
Publisher : CRC Press
ISBN 13 : 9780849389634
Total Pages : 568 pages
Book Rating : 4.3/5 (896 download)
Download or read book Handbook and Atlas of Curves written by Eugene V. Shikin and published by CRC Press. This book was released on 1995-04-27 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook and Atlas of Curves describes available analytic and visual properties of plane and spatial curves. Information is presented in a unique format, with one half of the book detailing investigation tools and the other devoted to the Atlas of Plane Curves. Main definitions, formulas, and facts from curve theory (plane and spatial) are discussed in depth. They comprise the necessary apparatus for examining curves. An important and original part of the book is the Atlas, consisting of nearly 200 plane curve classes, more than 700 figures, and nearly 2,000 drawings of specific curves. The classes have been scrupulously chosen for their interesting and useful properties. The dynamics of each class is visually represented by a series of specially arranged precise drawings showing the qualitative change of a curve's behavior as the parameters defining the class vary. The book provides numerous application examples, descriptions of mechanisms for drawing various curves, and discussions of geometric spline possibilities. It includes more than 20 various geometric and linguistic indices and an update on world literature on curve theory. The Handbook and Atlas of Curves will be an invaluable reference for researchers, practitioners, students, and amatuers of mathematics.
Author : Robert H. Dijkgraaf
Publisher : Springer Science & Business Media
ISBN 13 : 1461242649
Total Pages : 570 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Moduli Space of Curves written by Robert H. Dijkgraaf and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.
Author : Ecole normale supérieure (France)
Publisher :
ISBN 13 :
Total Pages : 446 pages
Book Rating : 4.3/5 (121 download)
Download or read book Annales Scientifiques de L'École Normale Supérieure written by Ecole normale supérieure (France) and published by . This book was released on 1997 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Franco Ghione
Publisher : Springer
ISBN 13 : 354047708X
Total Pages : 278 pages
Book Rating : 4.5/5 (44 download)
Download or read book Space Curves written by Franco Ghione and published by Springer. This book was released on 2006-11-15 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main topics of the conference on "Curves in Projective Space" were good and bad families of projective curves, postulation of projective space curves and classical problems in enumerative geometry.
Author : École normale supérieure (France)
Publisher :
ISBN 13 :
Total Pages : 916 pages
Book Rating : 4.E/5 ( download)
Download or read book Annales scientifiques de l'École normale supérieure written by École normale supérieure (France) and published by . This book was released on 1996 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Voight
Publisher : American Mathematical Society
ISBN 13 : 1470452286
Total Pages : 142 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Canonical Ring of a Stacky Curve written by John Voight and published by American Mathematical Society. This book was released on 2022-05-24 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Seminario matematico (Turin, Italy)
Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.3/5 (91 download)
Download or read book Rendiconti del Seminario matematico written by Seminario matematico (Turin, Italy) and published by . This book was released on 2001 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 872 pages
Book Rating : 4.3/5 (91 download)
Download or read book American Doctoral Dissertations written by and published by . This book was released on 1996 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Fulton
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.:/5 (1 download)
Download or read book Algebraic Curves written by William Fulton and published by . This book was released on 2008 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of these notes is to develop the theory of algebraic curves from the viewpoint of modern algebraic geometry, but without excessive prerequisites. We have assumed that the reader is familiar with some basic properties of rings, ideals and polynomials, such as is often covered in a one-semester course in modern algebra; additional commutative algebra is developed in later sections.
Author : Brendan Hassett
Publisher : American Mathematical Soc.
ISBN 13 : 0821889834
Total Pages : 614 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Celebration of Algebraic Geometry written by Brendan Hassett and published by American Mathematical Soc.. This book was released on 2013-09-11 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkähler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
Author : Robin J. Y. McLeod
Publisher : Cambridge University Press
ISBN 13 : 9780521321532
Total Pages : 436 pages
Book Rating : 4.3/5 (215 download)
Download or read book Geometry and Interpolation of Curves and Surfaces written by Robin J. Y. McLeod and published by Cambridge University Press. This book was released on 1998-07-13 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many practical applications in engineering analysis, approximation, and curve-plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. Professionals, students, and researchers in applied mathematics, solid modeling, graphics, robotics, and engineering design and analysis will find this a useful reference.
