Etale Cohomology. (PMS-33)

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9780691082387: Etale Cohomology. (PMS-33)

One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he and M. Artin introduced étale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and p-adic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to étale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory.

The author begins with a review of the basic properties of flat and étale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of étale sheaves and elementary étale cohomology, and are followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in étale cohomology -- those of base change, purity, Poincaré duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general L-series.

Originally published in 1980.

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.

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About the Author:

J. S. Milne is Professor Emeritus of Mathematics at the University of Michigan at Ann Arbor.

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James S. Milne
Editorial: Princeton University Press (1992)
ISBN 10: 0691082383 ISBN 13: 9780691082387
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Descripción Princeton University Press, 1992. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería WP-9780691082387

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J. S. Milne
Editorial: Princeton University Press, United States (1980)
ISBN 10: 0691082383 ISBN 13: 9780691082387
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Descripción Princeton University Press, United States, 1980. Hardback. Estado de conservación: New. Language: English . Brand New Book. One of the most important mathematical achievements of the past several decades has been A. Grothendieck s work on algebraic geometry. In the early 1960s, he and M. Artin introduced etale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and p-adic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to etale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory. The author begins with a review of the basic properties of flat and etale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of etale sheaves and elementary etale cohomology, and are followed by an application of the cohomology to the study of the Brauer group.After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in etale cohomology -- those of base change, purity, Poincare duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general L-series. Originally published in 1980. 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. Nº de ref. de la librería AAH9780691082387

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James S. Milne
Editorial: Princeton University Press, United States (1980)
ISBN 10: 0691082383 ISBN 13: 9780691082387
Nuevos Tapa dura Cantidad: 1
Impresión bajo demanda
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Descripción Princeton University Press, United States, 1980. Hardback. Estado de conservación: New. Language: English . Brand New Book. One of the most important mathematical achievements of the past several decades has been A. Grothendieck s work on algebraic geometry. In the early 1960s, he and M. Artin introduced etale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and p-adic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to etale cohomology, J. S. Milne offers this more elementary account covering the essential features of the theory. The author begins with a review of the basic properties of flat and etale morphisms and of the algebraic fundamental group. The next two chapters concern the basic theory of etale sheaves and elementary etale cohomology, and are followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Professor Milne proves the fundamental theorems in etale cohomology -- those of base change, purity, Poincare duality, and the Lefschetz trace formula. He then applies these theorems to show the rationality of some very general L-series.Originally published in 1980.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. Nº de ref. de la librería AAH9780691082387

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James S. Milne
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Descripción Princeton University Press, 1992. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780691082387

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Descripción Princeton University Press, 1980. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0691082383

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Milne, James S.
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Descripción Princeton University Press, 1980. Hardcover. Estado de conservación: New. Nº de ref. de la librería INGM9780691082387

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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97806910823870000000

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James S. Milne
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Descripción Princeton University Press, 1992. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780691082387

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J. S. Milne
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Descripción Princeton University Press. Hardback. Estado de conservación: new. BRAND NEW, Etale Cohomology, J. S. Milne, The description for this book, Etale Cohomology (PMS-33), will be forthcoming. Nº de ref. de la librería B9780691082387

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James S. Milne
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Descripción Princeton Univ Pr, 1979. Hardcover. Estado de conservación: Brand New. 344 pages. 9.50x6.50x1.00 inches. In Stock. Nº de ref. de la librería __0691082383

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