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Author :
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.:/5 (488 download)
Download or read book Selected Topics in Algebraic Geometry written by and published by . This book was released on 1970 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (63 download)
Download or read book Selected Topics in Algebraic Geometry written by and published by . This book was released on 1928 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. et al Snyder
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)
Download or read book Selected Topics in Algebraic Geometry written by V. et al Snyder and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : National Research Council (U.S.). Committee on Rational Transformations
Publisher : American Mathematical Soc.
ISBN 13 : 9780828401890
Total Pages : 518 pages
Book Rating : 4.4/5 (18 download)
Download or read book Selected Topics in Algebraic Geometry written by National Research Council (U.S.). Committee on Rational Transformations and published by American Mathematical Soc.. This book was released on 1970 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book resulted from two reports (published in 1928 and 1932) of the Committee on Rational Transformations, established by the National Research Council. The purpose of the reports was to give a comprehensive survey of the literature on the subject. Each chapter is regarded as a separate unit that can be read independently.
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
ISBN 13 : 1475738498
Total Pages : 511 pages
Book Rating : 4.4/5 (757 download)
Download or read book Algebraic Geometry written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.
Author : National Research Council (U.S.). Committee on Rational Transformations
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (397 download)
Download or read book Selected Topics in Algebraic Geometry written by National Research Council (U.S.). Committee on Rational Transformations and published by . This book was released on 1928 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ionel Bucur
Publisher : Springer
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.:/5 (44 download)
Download or read book Selected Topics in Algebra written by Ionel Bucur and published by Springer. This book was released on 1984-09-30 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final G. K. Chesterton. The Scandal of question. Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addi tion to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : I. Bucur
Publisher : Springer
ISBN 13 : 9789400962897
Total Pages : 0 pages
Book Rating : 4.9/5 (628 download)
Download or read book Selected Topics in Algebra written by I. Bucur and published by Springer. This book was released on 2014-01-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final G. K. Chesterton. The Scandal of question. Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addi tion to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author : Gregory G. Smith
Publisher : Springer
ISBN 13 : 1493974866
Total Pages : 390 pages
Book Rating : 4.4/5 (939 download)
Download or read book Combinatorial Algebraic Geometry written by Gregory G. Smith and published by Springer. This book was released on 2017-11-17 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.
Author : Daniel Bump
Publisher : World Scientific
ISBN 13 : 9789810235611
Total Pages : 232 pages
Book Rating : 4.2/5 (356 download)
Download or read book Algebraic Geometry written by Daniel Bump and published by World Scientific. This book was released on 1998 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used. A taste of the deeper theory is given: some topics, such as local algebra and ramification theory, are treated in depth. The book culminates with a selection of topics from the theory of algebraic curves, including the Riemann-Roch theorem, elliptic curves, the zeta function of a curve over a finite field, and the Riemann hypothesis for elliptic curves.
Author : Sotirios E. Louridas
Publisher : Springer Science & Business Media
ISBN 13 : 1461472733
Total Pages : 238 pages
Book Rating : 4.4/5 (614 download)
Download or read book Problem-Solving and Selected Topics in Euclidean Geometry written by Sotirios E. Louridas and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean Geometry. Before the complete solution of every problem, a key idea is presented so that the reader will be able to provide the solution. Applications of the basic geometrical methods which include analysis, synthesis, construction and proof are given. Selected problems which have been given in mathematical olympiads or proposed in short lists in IMO's are discussed. In addition, a number of problems proposed by leading mathematicians in the subject are included here. The book also contains new problems with their solutions. The scope of the publication of the present book is to teach mathematical thinking through Geometry and to provide inspiration for both students and teachers to formulate "positive" conjectures and provide solutions.
Author : National Research Council (U.S.). Committee on Rational Transformations
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.3/5 (91 download)
Download or read book Selected Topics in Algebraic Geometry - II. written by National Research Council (U.S.). Committee on Rational Transformations and published by . This book was released on 1934 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ulrich Görtz
Publisher : Springer Science & Business Media
ISBN 13 : 3834897221
Total Pages : 615 pages
Book Rating : 4.8/5 (348 download)
Download or read book Algebraic Geometry written by Ulrich Görtz and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. A systematic treatment and motivation of the theory is emphasized, using concrete examples to illustrate its usefulness. Several examples from the realm of Hilbert modular surfaces and of determinantal varieties are used methodically to discuss the covered techniques. Thus the reader experiences that the further development of the theory yields an ever better understanding of these fascinating objects. The text is complemented by many exercises that serve to check the comprehension of the text, treat further examples, or give an outlook on further results. The volume at hand is an introduction to schemes. To get startet, it requires only basic knowledge in abstract algebra and topology. Essential facts from commutative algebra are assembled in an appendix. It will be complemented by a second volume on the cohomology of schemes.
Author : Mauro Beltrametti
Publisher : European Mathematical Society
ISBN 13 : 9783037190647
Total Pages : 512 pages
Book Rating : 4.1/5 (96 download)
Download or read book Lectures on Curves, Surfaces and Projective Varieties written by Mauro Beltrametti and published by European Mathematical Society. This book was released on 2009 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a wide-ranging introduction to algebraic geometry along classical lines. It consists of lectures on topics in classical algebraic geometry, including the basic properties of projective algebraic varieties, linear systems of hypersurfaces, algebraic curves (with special emphasis on rational curves), linear series on algebraic curves, Cremona transformations, rational surfaces, and notable examples of special varieties like the Segre, Grassmann, and Veronese varieties. An integral part and special feature of the presentation is the inclusion of many exercises, not easy to find in the literature and almost all with complete solutions. The text is aimed at students in the last two years of an undergraduate program in mathematics. It contains some rather advanced topics suitable for specialized courses at the advanced undergraduate or beginning graduate level, as well as interesting topics for a senior thesis. The prerequisites have been deliberately limited to basic elements of projective geometry and abstract algebra. Thus, for example, some knowledge of the geometry of subspaces and properties of fields is assumed. The book will be welcomed by teachers and students of algebraic geometry who are seeking a clear and panoramic path leading from the basic facts about linear subspaces, conics and quadrics to a systematic discussion of classical algebraic varieties and the tools needed to study them. The text provides a solid foundation for approaching more advanced and abstract literature.
Author : Shigeru Mukai
Publisher : Cambridge University Press
ISBN 13 : 9780521809061
Total Pages : 528 pages
Book Rating : 4.8/5 (9 download)
Download or read book An Introduction to Invariants and Moduli written by Shigeru Mukai and published by Cambridge University Press. This book was released on 2003-09-08 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sample Text
Author : National Research Council (U.S.). Committee on Rational Transformations
Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.3/5 (91 download)
Download or read book Selected Topics in Alegbraic Geometry written by National Research Council (U.S.). Committee on Rational Transformations and published by . This book was released on 1928 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Qing Liu
Publisher : Oxford University Press
ISBN 13 : 0191547808
Total Pages : 593 pages
Book Rating : 4.1/5 (915 download)
Download or read book Algebraic Geometry and Arithmetic Curves written by Qing Liu and published by Oxford University Press. This book was released on 2006-06-29 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and Grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its application to the study of smooth projective curves over a field. Singular curves are treated through a detailed study of the Picard group. The second part starts with blowing-ups and desingularisation (embedded or not) of fibered surfaces over a Dedekind ring that leads on to intersection theory on arithmetic surfaces. Castelnuovo's criterion is proved and also the existence of the minimal regular model. This leads to the study of reduction of algebraic curves. The case of elliptic curves is studied in detail. The book concludes with the funadmental theorem of stable reduction of Deligne-Mumford. The book is essentially self-contained, including the necessary material on commutative algebra. The prerequisites are therefore few, and the book should suit a graduate student. It contains many examples and nearly 600 exercises.
