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Selected Topics In Algebraic Geometry Ii
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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)
Book Synopsis Selected Topics in Algebraic Geometry by : National Research Council (U.S.). Committee on Rational Transformations
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.
Book Synopsis Algebraic Geometry II by : David Mumford
Download or read book Algebraic Geometry II written by David Mumford and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several generations of students of algebraic geometry have learned the subject from David Mumford's fabled "Red Book" containing notes of his lectures at Harvard University. This book contains what Mumford had intended to be Volume II. It covers the material in the "Red Book" in more depth with several more topics added.
Author :National Research Council (U.S.). Committee on Rational Transformations Publisher : ISBN 13 : Total Pages :104 pages Book Rating :4.3/5 (91 download)
Book Synopsis Selected Topics in Algebraic Geometry - II. by : National Research Council (U.S.). Committee on Rational Transformations
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:
Book Synopsis Positivity in Algebraic Geometry I by : R.K. Lazarsfeld
Download or read book Positivity in Algebraic Geometry I written by R.K. Lazarsfeld and published by Springer Science & Business Media. This book was released on 2004-08-24 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two volume work on Positivity in Algebraic Geometry contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity. Topics in Volume I include ample line bundles and linear series on a projective variety, the classical theorems of Lefschetz and Bertini and their modern outgrowths, vanishing theorems, and local positivity. Volume II begins with a survey of positivity for vector bundles, and moves on to a systematic development of the theory of multiplier ideals and their applications. A good deal of this material has not previously appeared in book form, and substantial parts are worked out here in detail for the first time. At least a third of the book is devoted to concrete examples, applications, and pointers to further developments. Volume I is more elementary than Volume II, and, for the most part, it can be read without access to Volume II.
Book Synopsis Lectures on Algebraic Geometry II by : Günter Harder
Download or read book Lectures on Algebraic Geometry II written by Günter Harder and published by Springer Science & Business Media. This book was released on 2011-04-21 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume introduces the concept of shemes, reviews some commutative algebra and introduces projective schemes. The finiteness theorem for coherent sheaves is proved, here again the techniques of homological algebra and sheaf cohomology are needed. In the last two chapters, projective curves over an arbitrary ground field are discussed, the theory of Jacobians is developed, and the existence of the Picard scheme is proved. Finally, the author gives some outlook into further developments- for instance étale cohomology- and states some fundamental theorems.
Book Synopsis Selected Papers II by : David Mumford
Download or read book Selected Papers II written by David Mumford and published by Springer. This book was released on 2019-07-15 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics Many of these papers are currently unavailable, and the correspondence with Grothendieck has never before been published
Author :Igor Rostislavovich Shafarevich Publisher :Springer Science & Business Media ISBN 13 :9783540575542 Total Pages :292 pages Book Rating :4.5/5 (755 download)
Book Synopsis Basic Algebraic Geometry 2 by : Igor Rostislavovich Shafarevich
Download or read book Basic Algebraic Geometry 2 written by Igor Rostislavovich Shafarevich and published by Springer Science & Business Media. This book was released on 1994 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume of Shafarevich's introductory book on algebraic geometry focuses on schemes, complex algebraic varieties and complex manifolds. As with Volume 1 the author has revised the text and added new material, e.g. a section on real algebraic curves. Although the material is more advanced than in Volume 1 the algebraic apparatus is kept to a minimum making the book accessible to non-specialists. It can be read independently of Volume 1 and is suitable for beginning graduate students in mathematics as well as in theoretical physics.
Book Synopsis Algebraic Geometry by : Robin Hartshorne
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.
Book Synopsis Lectures on Algebraic Geometry I by : Günter Harder
Download or read book Lectures on Algebraic Geometry I written by Günter Harder and published by Springer Science & Business Media. This book was released on 2008-08-01 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book and the following second volume is an introduction into modern algebraic geometry. In the first volume the methods of homological algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also fundamental for other branches of mathematics and of great interest in their own. In the last chapter of volume I these concepts are applied to the theory of compact Riemann surfaces. In this chapter the author makes clear how influential the ideas of Abel, Riemann and Jacobi were and that many of the modern methods have been anticipated by them.
Book Synopsis Algebraic Geometry II by : I.R. Shafarevich
Download or read book Algebraic Geometry II written by I.R. Shafarevich and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part volume contains numerous examples and insights on various topics. The authors have taken pains to present the material rigorously and coherently. This book will be immensely useful to mathematicians and graduate students working in algebraic geometry, arithmetic algebraic geometry, complex analysis and related fields.
Book Synopsis A Semicentennial History of the American Mathematical Society, 1888-1938 by : Raymond Clare Archibald
Download or read book A Semicentennial History of the American Mathematical Society, 1888-1938 written by Raymond Clare Archibald and published by American Mathematical Soc.. This book was released on 1938-12-31 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume outlines the history of the AMS in its first fifty years. To download free chapters of this book, click here.
Book Synopsis An Introduction to Invariants and Moduli by : Shigeru Mukai
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
Book Synopsis Algebraic Threefolds by : Leonard Roth
Download or read book Algebraic Threefolds written by Leonard Roth and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :National Research Council (U.S.). Committee on Rational Transformations Publisher : ISBN 13 : Total Pages :412 pages Book Rating :4.3/5 (91 download)
Book Synopsis Selected Topics in Alegbraic Geometry by : National Research Council (U.S.). Committee on Rational Transformations
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:
Book Synopsis Problem-Solving and Selected Topics in Euclidean Geometry by : Sotirios E. Louridas
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.
Book Synopsis Algebraic Geometry 2 by : Kenji Ueno
Download or read book Algebraic Geometry 2 written by Kenji Ueno and published by American Mathematical Soc.. This book was released on 1999 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic geometry is built upon two fundamental notions: schemes and sheaves. The theory of schemes was explained in Algebraic Geometry 1: From Algebraic Varieties to Schemes. In this volume, the author turns to the theory of sheaves and their cohomology. A sheaf is a way of keeping track of local information defined on a topological space, such as the local holomorphic functions on a complex manifold or the local sections of a vector bundle. To study schemes, it is useful to study the sheaves defined on them, especially the coherent and quasicoherent sheaves.
Book Synopsis Algebraic Geometry II: Cohomology of Schemes by : Ulrich Görtz
Download or read book Algebraic Geometry II: Cohomology of Schemes written by Ulrich Görtz and published by Springer Nature. This book was released on 2023-11-22 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes. It begins by discussing in detail the notions of smooth, unramified and étale morphisms including the étale fundamental group. The main part is dedicated to the cohomology of quasi-coherent sheaves. The treatment is based on the formalism of derived categories which allows an efficient and conceptual treatment of the theory, which is of crucial importance in all areas of algebraic geometry. After the foundations are set up, several more advanced topics are studied, such as numerical intersection theory, an abstract version of the Theorem of Grothendieck-Riemann-Roch, the Theorem on Formal Functions, Grothendieck's algebraization results and a very general version of Grothendieck duality. The book concludes with chapters on curves and on abelian schemes, which serve to develop the basics of the theory of these two important classes of schemes on an advanced level, and at the same time to illustrate the power of the techniques introduced previously. The text contains many exercises that allow the reader to check their comprehension of the text, present further examples or give an outlook on further results.
