Download Full eBooks in PDF
Theory And Applications Of Holomorphic Functions On Algebraic Varieties Over Arbitrary Ground Fields Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Theory And Applications Of Holomorphic Functions On Algebraic Varieties Over Arbitrary Ground Fields book. This book definitely worth reading, it is an incredibly well-written.
Author : Oscar Zariski
Publisher : American Mathematical Soc.
Page : 99 pages
File Size : 49,6 Mb
Release : 1951
Category : Algebraic functions
ISBN : 9780821812051
Author : K. Ueno
Publisher : Springer
Page : 296 pages
File Size : 44,9 Mb
Release : 2006-11-15
Category : Computers
ISBN : 9783540374152
Author : Robin Hartshorne
Publisher : Springer Science & Business Media
Page : 511 pages
File Size : 41,8 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475738490
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 : Robin Hartshorne
Publisher : Springer
Page : 271 pages
File Size : 46,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540363453
Author : Oscar Zariski
Publisher : MIT Press (MA)
Page : 568 pages
File Size : 46,6 Mb
Release : 1973
Category : Mathematics
ISBN : 0262010380
This is the second of four volumes that will eventually present the full corpus of Zariski's mathematical contribution. Like the first volume (subtitled "Foundations of Algebraic Geometry and Resolution of Singularities, " and edited by H. Hironaka and D. Mumford), it is divided into two parts, each devoted to a large but circumscribed area of research activity.The first part, containing eight papers introduced by Artin, deals with the theory of formal holomorphic functions on algebraic varieties over fields of any characteristic. The primary concern, in Zariski's words, is "analytic properties of an algebraic variety "V, " either in the neighborhood of a point (strictly "local" theory) or--and this is the deeper aspect of the theory--in the neighborhood of an algebraic sub-variety of "V" (semiglobal theory)."Mumford surveys the ten papers reprinted in the second part. These deal with linear systems and the Riemann-Roch theorem and its applications, again in arbitrary characteristic. The applications are primarily to algebraic surfaces and include minimal models and characterization of rational or ruled surfaces.
Author : Carol Parikh
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 48,7 Mb
Release : 2008-12-23
Category : Mathematics
ISBN : 9780387094304
Oscar Zariski’s work in mathematics permanently altered the foundations of algebraic geometry. The powerful tools he forged from the ideas of modern algebra allowed him to penetrate classical problems with an unaccustomed depth, and brought new rigor to the intuitive proofs of the Italian School. The students he trained at Hopkins, and later at Harvard, are among the foremost mathematicians of our time. While what he called his “real life” is recorded in almost a hundred books and papers, this story of his “unreal life” is based upon Parikh’s interviews with his family, colleagues, and students, and on his own memories from a series of tape-recorded interviews made a few years before his death in 1986. First published in 1991, The Unreal Life of Oscar Zariski was highly successful and widely praised, but has been out of print for many years. Springer is proud to make this book available again, introducing Oscar Zariski to a new generation of mathematicians.
Author : Steven Dale Cutkosky
Publisher : American Mathematical Soc.
Page : 484 pages
File Size : 43,5 Mb
Release : 2018-06-01
Category : Geometry, Algebraic
ISBN : 9781470435189
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.
Author : Franz-Viktor Kuhlmann,Salma Kuhlmann,Murray Marshall
Publisher : American Mathematical Soc.
Page : 478 pages
File Size : 45,5 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 0821885901
This book is the second of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). It contains the most recent applications of valuation theory to a broad range of mathematical ideas. Valuation theory arose in the early part of the twentieth century in connection with number theory and continues to have many important applications to algebra, geometry, and analysis. The research and survey papers in this volume cover a variety of topics, including Galois theory, the Grunwald-Wang Theorem, algebraic geometry, resolution of singularities, curves over Prufer domains, model theory of valued fields and the Frobenius, Hardy fields, Hensel's Lemma, fixed point theorems, and computations in valued fields. It is suitable for graduate students and research mathematicians interested in algebra, algebraic geometry, number theory, and mathematical logic.
Author : Shreeram Shankar Abhyankar
Publisher : Princeton University Press
Page : 112 pages
File Size : 47,6 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881390
The description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43, will be forthcoming.
Author : Ralph Hartzler Fox
Publisher : Princeton University Press
Page : 410 pages
File Size : 52,8 Mb
Release : 2015-12-08
Category : Mathematics
ISBN : 9781400879915
Many of the developments of modern algebraic geometry and topology stem from the ideas of S. Lefschetz. These are featured in this volume of contemporary research papers contributed by mathematical colleagues to celebrate his seventieth birthday. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author : Karen Hunger Parshall
Publisher : Princeton University Press
Page : 640 pages
File Size : 47,9 Mb
Release : 2022-02-22
Category : Mathematics
ISBN : 9780691233819
A meticulously researched history on the development of American mathematics in the three decades following World War I As the Roaring Twenties lurched into the Great Depression, to be followed by the scourge of Nazi Germany and World War II, American mathematicians pursued their research, positioned themselves collectively within American science, and rose to global mathematical hegemony. How did they do it? The New Era in American Mathematics, 1920–1950 explores the institutional, financial, social, and political forces that shaped and supported this community in the first half of the twentieth century. In doing so, Karen Hunger Parshall debunks the widely held view that American mathematics only thrived after European émigrés fled to the shores of the United States. Drawing from extensive archival and primary-source research, Parshall uncovers the key players in American mathematics who worked together to effect change and she looks at their research output over the course of three decades. She highlights the educational, professional, philanthropic, and governmental entities that bolstered progress. And she uncovers the strategies implemented by American mathematicians in their quest for the advancement of knowledge. Throughout, she considers how geopolitical circumstances shifted the course of the discipline. Examining how the American mathematical community asserted itself on the international stage, The New Era in American Mathematics, 1920–1950 shows the way one nation became the focal point for the field.
Author : Ernst Snapper
Publisher : American Mathematical Soc.
Page : 104 pages
File Size : 46,9 Mb
Release : 1957
Category : Homology theory
ISBN : 9780821812280
Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 562 pages
File Size : 48,5 Mb
Release : 2000-04-20
Category : Mathematics
ISBN : 0387988025
Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. Here, 83 of his research papers are collected in four volumes, ranging over a variety of topics of interest to many readers.
Author : Serge Lang
Publisher : Courier Dover Publications
Page : 273 pages
File Size : 53,5 Mb
Release : 2019-03-20
Category : Mathematics
ISBN : 9780486834221
Author Serge Lang defines algebraic geometry as the study of systems of algebraic equations in several variables and of the structure that one can give to the solutions of such equations. The study can be carried out in four ways: analytical, topological, algebraico-geometric, and arithmetic. This volume offers a rapid, concise, and self-contained introductory approach to the algebraic aspects of the third method, the algebraico-geometric. The treatment assumes only familiarity with elementary algebra up to the level of Galois theory. Starting with an opening chapter on the general theory of places, the author advances to examinations of algebraic varieties, the absolute theory of varieties, and products, projections, and correspondences. Subsequent chapters explore normal varieties, divisors and linear systems, differential forms, the theory of simple points, and algebraic groups, concluding with a focus on the Riemann-Roch theorem. All the theorems of a general nature related to the foundations of the theory of algebraic groups are featured.
Author : Wei-Liang Chow,Shiing-Shen Chern,Vyacheslav V. Shokurov
Publisher : World Scientific
Page : 522 pages
File Size : 53,8 Mb
Release : 2002
Category : Mathematics
ISBN : 9789812380944
This invaluable book contains the collected papers of Prof Wei-Liang Chow, an original and versatile mathematician of the 20th Century. Prof Chow's name has become a household word in mathematics because of the Chow ring, Chow coordinates, and Chow's theorem on analytic sets in projective spaces. The Chow ring has many advantages and is widely used in intersection theory of algebraic geometry. Chow coordinates have been a very versatile tool in many aspects of algebraic geometry. Chow's theorem ? that a compact analytic variety in a projective space is algebraic ? is justly famous; it shows the close analogy between algebraic geometry and algebraic number theory.About Professor Wei-Liang ChowThe long and distinguished career of Prof Wei-Liang Chow (1911-95) as a mathematician began in China with professorships at the National Central University in Nanking (1936-37) and the National Tung-Chi University in Shanghai (1946-47), and ultimately led him to the United States, where he joined the mathematics faculty of Johns Hopkins University in Baltimore, Maryland, first as an associate professor from 1948 to 1950, then as a full professor from 1950 until his retirement in 1977.In addition to serving as chairman of the mathematics department at Johns Hopkins from 1955 to 1965, he was Editor-in-Chief of the American Journal of Mathematics from 1953 to 1977.
