Theory and Applications of Holomorphic Functions on Algebraic Varieties over Arbitrary Ground Fields

Theory and Applications of Holomorphic Functions on Algebraic Varieties over Arbitrary Ground Fields PDF Author: Oscar Zariski
Publisher: American Mathematical Soc.
ISBN: 082181205X
Category : Algebraic functions
Languages : en
Pages : 99

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Theory and Applications of Holomorphic Functions on Algebraic Varieties over Arbitrary Ground Fields

Theory and Applications of Holomorphic Functions on Algebraic Varieties over Arbitrary Ground Fields PDF Author: Oscar Zariski
Publisher: American Mathematical Soc.
ISBN: 082181205X
Category : Algebraic functions
Languages : en
Pages : 99

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Book Description


Classification Theory of Algebraic Varieties and Compact Complex Spaces

Classification Theory of Algebraic Varieties and Compact Complex Spaces PDF Author: K. Ueno
Publisher: Springer
ISBN: 3540374159
Category : Computers
Languages : en
Pages : 296

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Book Description


Algebraic Geometry

Algebraic Geometry PDF Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 1475738498
Category : Mathematics
Languages : en
Pages : 511

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Book Description
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.

Ample Subvarieties of Algebraic Varieties

Ample Subvarieties of Algebraic Varieties PDF Author: Robin Hartshorne
Publisher: Springer
ISBN: 3540363459
Category : Mathematics
Languages : en
Pages : 271

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The Unreal Life of Oscar Zariski

The Unreal Life of Oscar Zariski PDF Author: Carol Parikh
Publisher: Springer Science & Business Media
ISBN: 038709430X
Category : Mathematics
Languages : en
Pages : 203

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Book Description
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.

Introduction to Algebraic Geometry

Introduction to Algebraic Geometry PDF Author: Steven Dale Cutkosky
Publisher: American Mathematical Soc.
ISBN: 1470435187
Category : Geometry, Algebraic
Languages : en
Pages : 484

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Book Description
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.

Valuation Theory and Its Applications

Valuation Theory and Its Applications PDF Author: Franz-Viktor Kuhlmann
Publisher: American Mathematical Soc.
ISBN: 9780821885901
Category : Mathematics
Languages : en
Pages : 478

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Book Description
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.

Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43

Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43 PDF Author: Shreeram Shankar Abhyankar
Publisher: Princeton University Press
ISBN: 1400881390
Category : Mathematics
Languages : en
Pages : 112

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Book Description
The description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), Volume 43, will be forthcoming.

The New Era in American Mathematics, 1920–1950

The New Era in American Mathematics, 1920–1950 PDF Author: Karen Hunger Parshall
Publisher: Princeton University Press
ISBN: 0691233810
Category : Mathematics
Languages : en
Pages : 640

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Book Description
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.

Algebraic Geometry and Topology

Algebraic Geometry and Topology PDF Author: Ralph Hartzler Fox
Publisher: Princeton University Press
ISBN: 1400879914
Category : Mathematics
Languages : en
Pages : 410

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Book Description
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.