Étale Cohomology (PMS-33) (Princeton Mathematical Series)

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9780691082387: Étale Cohomology (PMS-33) (Princeton Mathematical Series)
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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.

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The Description for this book, Etale Cohomology (PMS-33), will be forthcoming.

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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. 231 x 152 mm. 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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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. 231 x 152 mm. 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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Milne, James S.
Editorial: Princeton University Press (1980)
ISBN 10: 0691082383 ISBN 13: 9780691082387
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Descripción Princeton University Press, 1980. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0691082383

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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 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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Milne, James S.
Editorial: Princeton University Press (1980)
ISBN 10: 0691082383 ISBN 13: 9780691082387
Nuevos Tapa dura Cantidad: 10
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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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James S. Milne
Editorial: Princeton Univ Pr (1979)
ISBN 10: 0691082383 ISBN 13: 9780691082387
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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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James S. Milne
Editorial: Princeton University Press (1980)
ISBN 10: 0691082383 ISBN 13: 9780691082387
Nuevos Tapa dura Cantidad: 1
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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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J Milne
Editorial: Princeton University Press 1980-04-01 (1980)
ISBN 10: 0691082383 ISBN 13: 9780691082387
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Descripción Princeton University Press 1980-04-01, 1980. Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatched within 2 working days from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-ING-00180258

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MILNE
ISBN 10: 0691082383 ISBN 13: 9780691082387
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Descripción 1992. Hardback. Estado de conservación: NEW. 9780691082387 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE01144886

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