Notes On Crystalline Cohomology Mn 21

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Notes on Crystalline Cohomology. (MN-21)

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Author : Pierre Berthelot
Publisher : Princeton University Press
ISBN 13 : 1400867312
Total Pages : 256 pages
Book Rating : 4.4/5 (8 download)

Book Synopsis Notes on Crystalline Cohomology. (MN-21) by : Pierre Berthelot

Download or read book Notes on Crystalline Cohomology. (MN-21) written by Pierre Berthelot and published by Princeton University Press. This book was released on 2015-03-08 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieties in positive characteristic. Originally published in 1978. 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.

Universal Extensions and One Dimensional Crystalline Cohomology

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Author : B. Mazur
Publisher : Springer
ISBN 13 : 3540379339
Total Pages : 142 pages
Book Rating : 4.5/5 (43 download)

Book Synopsis Universal Extensions and One Dimensional Crystalline Cohomology by : B. Mazur

Download or read book Universal Extensions and One Dimensional Crystalline Cohomology written by B. Mazur and published by Springer. This book was released on 2006-11-15 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: a

Crystalline Cohomology

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Author : Luc Illusie
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (278 download)

Book Synopsis Crystalline Cohomology by : Luc Illusie

Download or read book Crystalline Cohomology written by Luc Illusie and published by . This book was released on 1992 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Universal Extensions and One Dimensional Crystalline Cohomology

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Author : B Mazur
Publisher :
ISBN 13 : 9783662188828
Total Pages : 148 pages
Book Rating : 4.1/5 (888 download)

Book Synopsis Universal Extensions and One Dimensional Crystalline Cohomology by : B Mazur

Download or read book Universal Extensions and One Dimensional Crystalline Cohomology written by B Mazur and published by . This book was released on 2014-01-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Universal Extensions and One Dimensional Crystalline Cohomology

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Author : Barry Mazur
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (299 download)

Book Synopsis Universal Extensions and One Dimensional Crystalline Cohomology by : Barry Mazur

Download or read book Universal Extensions and One Dimensional Crystalline Cohomology written by Barry Mazur and published by . This book was released on 1974 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hodge Theory (MN-49)

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Author : Eduardo Cattani
Publisher : Princeton University Press
ISBN 13 : 0691161348
Total Pages : 607 pages
Book Rating : 4.6/5 (911 download)

Book Synopsis Hodge Theory (MN-49) by : Eduardo Cattani

Download or read book Hodge Theory (MN-49) written by Eduardo Cattani and published by Princeton University Press. This book was released on 2014-07-21 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers. The exposition is as accessible as possible and doesn't require a deep background. At the same time, the book presents some topics at the forefront of current research. The book is divided between introductory and advanced lectures. The introductory lectures address Kähler manifolds, variations of Hodge structure, mixed Hodge structures, the Hodge theory of maps, period domains and period mappings, algebraic cycles (up to and including the Bloch-Beilinson conjecture) and Chow groups, sheaf cohomology, and a new treatment of Grothendieck’s algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne’s theorem on absolute Hodge cycles), and variation of mixed Hodge structures. The contributors include Patrick Brosnan, James Carlson, Eduardo Cattani, François Charles, Mark Andrea de Cataldo, Fouad El Zein, Mark L. Green, Phillip A. Griffiths, Matt Kerr, Lê Dũng Tráng, Luca Migliorini, Jacob P. Murre, Christian Schnell, and Loring W. Tu.

Slope Characteristics in Crystalline Cohomology

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Author : Richard Malcom Crew
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (175 download)

Book Synopsis Slope Characteristics in Crystalline Cohomology by : Richard Malcom Crew

Download or read book Slope Characteristics in Crystalline Cohomology written by Richard Malcom Crew and published by . This book was released on 1981 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Crystalline Cohomology of Algebraic Stacks and Hyodo-Kato Cohomology

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Author : Martin C. Olsson
Publisher :
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.F/5 ( download)

Book Synopsis Crystalline Cohomology of Algebraic Stacks and Hyodo-Kato Cohomology by : Martin C. Olsson

Download or read book Crystalline Cohomology of Algebraic Stacks and Hyodo-Kato Cohomology written by Martin C. Olsson and published by . This book was released on 2007 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text the author uses stack-theoretic techniques to study the crystalline structure on the de Rham cohomology of a proper smooth scheme over a $p$-adic field and applications to $p$-adic Hodge theory. He develops a general theory of crystalline cohomology and de Rham-Witt complexes for algebraic stacks and applies it to the construction and study of the $(\varphi, N, G)$-structure on de Rham cohomology. Using the stack-theoretic point of view instead of log geometry, he develops the ingredients needed to prove the $C_{\text {st}}$-conjecture using the method of Fontaine, Messing, Hyodo, Kato, and Tsuji, except for the key computation of $p$-adic vanishing cycles. He also generalizes the construction of the monodromy operator to schemes with more general types of reduction than semistable and proves new results about tameness of the action of Galois on cohomology.

Journal of Mathematical Sciences, the University of Tokyo

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Author :
Publisher :
ISBN 13 :
Total Pages : 658 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Journal of Mathematical Sciences, the University of Tokyo by :

Download or read book Journal of Mathematical Sciences, the University of Tokyo written by and published by . This book was released on 2006 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Publishers' Trade List Annual

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Author :
Publisher :
ISBN 13 :
Total Pages : 1252 pages
Book Rating : 4.F/5 ( download)

Book Synopsis The Publishers' Trade List Annual by :

Download or read book The Publishers' Trade List Annual written by and published by . This book was released on 1985 with total page 1252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Berkeley Lectures on P-adic Geometry

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Author : Peter Scholze
Publisher : Princeton University Press
ISBN 13 : 0691202095
Total Pages : 260 pages
Book Rating : 4.6/5 (912 download)

Book Synopsis Berkeley Lectures on P-adic Geometry by : Peter Scholze

Download or read book Berkeley Lectures on P-adic Geometry written by Peter Scholze and published by Princeton University Press. This book was released on 2020-05-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berkeley Lectures on p-adic Geometry presents an important breakthrough in arithmetic geometry. In 2014, leading mathematician Peter Scholze delivered a series of lectures at the University of California, Berkeley, on new ideas in the theory of p-adic geometry. Building on his discovery of perfectoid spaces, Scholze introduced the concept of “diamonds,” which are to perfectoid spaces what algebraic spaces are to schemes. The introduction of diamonds, along with the development of a mixed-characteristic shtuka, set the stage for a critical advance in the discipline. In this book, Peter Scholze and Jared Weinstein show that the moduli space of mixed-characteristic shtukas is a diamond, raising the possibility of using the cohomology of such spaces to attack the Langlands conjectures for a reductive group over a p-adic field. This book follows the informal style of the original Berkeley lectures, with one chapter per lecture. It explores p-adic and perfectoid spaces before laying out the newer theory of shtukas and their moduli spaces. Points of contact with other threads of the subject, including p-divisible groups, p-adic Hodge theory, and Rapoport-Zink spaces, are thoroughly explained. Berkeley Lectures on p-adic Geometry will be a useful resource for students and scholars working in arithmetic geometry and number theory.

Etale Cohomology and the Weil Conjecture

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Author : Eberhard Freitag
Publisher : Springer Science & Business Media
ISBN 13 : 3662025418
Total Pages : 336 pages
Book Rating : 4.6/5 (62 download)

Book Synopsis Etale Cohomology and the Weil Conjecture by : Eberhard Freitag

Download or read book Etale Cohomology and the Weil Conjecture written by Eberhard Freitag and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof of the Weil conjec tures. For the convenience of the speakers the present authors - who were also the organisers of that meeting - prepared short notes containing the central definitions and ideas of the proofs. The unexpected interest for these notes and the various suggestions to publish them encouraged us to work somewhat more on them and fill out the gaps. Our aim was to develop the theory in as self contained and as short a manner as possible. We intended especially to provide a complete introduction to etale and l-adic cohomology theory including the monodromy theory of Lefschetz pencils. Of course, all the central ideas are due to the people who created the theory, especially Grothendieck and Deligne. The main references are the SGA-notes [64-69]. With the kind permission of Professor J. A. Dieudonne we have included in the book that finally resulted his excellent notes on the history of the Weil conjectures, as a second introduction. Our original notes were written in German. However, we finally followed the recommendation made variously to publish the book in English. We had the good fortune that Professor W. Waterhouse and his wife Betty agreed to translate our manuscript. We want to thank them very warmly for their willing involvement in such a tedious task. We are very grateful to the staff of Springer-Verlag for their careful work.

On the P-ADIC Analytic Continuation of Divisibility Properties of Filtered F-crystals with Applications to the Cohomology of Algebraic Varieties

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Author : Adolfo Quiros
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.:/5 (319 download)

Book Synopsis On the P-ADIC Analytic Continuation of Divisibility Properties of Filtered F-crystals with Applications to the Cohomology of Algebraic Varieties by : Adolfo Quiros

Download or read book On the P-ADIC Analytic Continuation of Divisibility Properties of Filtered F-crystals with Applications to the Cohomology of Algebraic Varieties written by Adolfo Quiros and published by . This book was released on 1987 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on K3 Surfaces

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Author : Daniel Huybrechts
Publisher : Cambridge University Press
ISBN 13 : 1316797252
Total Pages : 499 pages
Book Rating : 4.3/5 (167 download)

Book Synopsis Lectures on K3 Surfaces by : Daniel Huybrechts

Download or read book Lectures on K3 Surfaces written by Daniel Huybrechts and published by Cambridge University Press. This book was released on 2016-09-26 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin–Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers.

Hodge Cycles, Motives, and Shimura Varieties

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Author : Pierre Deligne
Publisher : Springer
ISBN 13 : 3540389555
Total Pages : 423 pages
Book Rating : 4.5/5 (43 download)

Book Synopsis Hodge Cycles, Motives, and Shimura Varieties by : Pierre Deligne

Download or read book Hodge Cycles, Motives, and Shimura Varieties written by Pierre Deligne and published by Springer. This book was released on 2009-03-20 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Books in Series

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Author :
Publisher :
ISBN 13 :
Total Pages : 1814 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Books in Series by :

Download or read book Books in Series written by and published by . This book was released on 1985 with total page 1814 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vols. for 1980- issued in three parts: Series, Authors, and Titles.

Lectures on Logarithmic Algebraic Geometry

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Author : Arthur Ogus
Publisher : Cambridge University Press
ISBN 13 : 1107187737
Total Pages : 559 pages
Book Rating : 4.1/5 (71 download)

Book Synopsis Lectures on Logarithmic Algebraic Geometry by : Arthur Ogus

Download or read book Lectures on Logarithmic Algebraic Geometry written by Arthur Ogus and published by Cambridge University Press. This book was released on 2018-11-08 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.