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" Lectures on logarithmic algebraic geometry / "
Arthur Ogus, University of California, Berkeley.
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BL
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| Record Number
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839195
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| Main Entry
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Ogus, Arthur
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| Title & Author
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Lectures on logarithmic algebraic geometry /\ Arthur Ogus, University of California, Berkeley.
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| Publication Statement
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Cambridge :: Cambridge University Press,, 2018.
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, ©2018
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| Series Statement
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Cambridge studies in advanced mathematics ;; 178
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| Page. NO
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1 online resource (xviii, 539 pages) :: illustrations
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| ISBN
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1316941612
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: 1316953564
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: 9781316941614
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: 9781316953563
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1107187737
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9781107187733
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| Bibliographies/Indexes
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Includes bibliographical references (pages 529-533) and indexes.
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| Contents
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The geometry of monoids -- Sheaves of monoids -- Logarithmic schemes -- Differentials and smoothness -- Betti and de Rham cohomology
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| Abstract
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This graduate textbook offers a self-contained introduction to the concepts and techniques of logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti cohomology. The book will be of use to graduate students and researchers working in algebraic, analytic, and arithmetic geometry as well as related fields.
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| Subject
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Compactifications, Textbooks.
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Geometry, Algebraic, Textbooks.
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Logarithmic functions, Textbooks.
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Number theory, Textbooks.
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Algebraische Geometrie
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Compactifications.
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Geometry, Algebraic.
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Logarithmic functions.
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Logarithmus
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Number theory.
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| Dewey Classification
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516.3/5
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| LC Classification
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QA565.O38 2018
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