Algebraic Cycles And Motives Volume 1

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Algebraic Cycles And Motives Volume 1

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Author : Jan Nagel
language : en
Publisher: Cambridge University Press
Release Date : 2007-05-03

Algebraic Cycles And Motives Volume 1 written by Jan Nagel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-03 with Mathematics categories.

This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

Mixed Motives And Algebraic K Theory

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Author : Uwe Jannsen
language : en
Publisher:
Release Date : 1990

Mixed Motives And Algebraic K Theory written by Uwe Jannsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Geometry, Algebraic categories.

Group Cohomology And Algebraic Cycles

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Author : Burt Totaro
language : en
Publisher: Cambridge University Press
Release Date : 2014-06-26

Group Cohomology And Algebraic Cycles written by Burt Totaro and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-26 with Mathematics categories.

This book presents a coherent suite of computational tools for the study of group cohomology algebraic cycles.

Algebraic Cycles And Motives Volume 2

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Author : Jan Nagel
language : en
Publisher: Cambridge University Press
Release Date : 2007-05-03

Algebraic Cycles And Motives Volume 2 written by Jan Nagel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-03 with Mathematics categories.

A self-contained account of the subject of algebraic cycles and motives as it stands.

Lectures On Algebraic Cycles

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Author : Spencer Bloch
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-22

Lectures On Algebraic Cycles written by Spencer Bloch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-22 with Mathematics categories.

Spencer Bloch's 1979 Duke lectures, a milestone in modern mathematics, have been out of print almost since their first publication in 1980, yet they have remained influential and are still the best place to learn the guiding philosophy of algebraic cycles and motives. This edition, now professionally typeset, has a new preface by the author giving his perspective on developments in the field over the past 30 years. The theory of algebraic cycles encompasses such central problems in mathematics as the Hodge conjecture and the Bloch–Kato conjecture on special values of zeta functions. The book begins with Mumford's example showing that the Chow group of zero-cycles on an algebraic variety can be infinite-dimensional, and explains how Hodge theory and algebraic K-theory give new insights into this and other phenomena.

Algebraic Cycles And Hodge Theory

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Author : Mark L. Green
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-12-16

Algebraic Cycles And Hodge Theory written by Mark L. Green and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-12-16 with Mathematics categories.

The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and k-theory, transcendental methods in the study of algebraic cycles.

Motives And Algebraic Cycles

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Author : Rob de Jeu
language : en
Publisher: American Mathematical Soc.
Release Date : 2009

Motives And Algebraic Cycles written by Rob de Jeu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.

Spencer J. Bloch has, and continues to have, a profound influence on the subject of Algebraic $K$-Theory, Cycles and Motives. This book, which is comprised of a number of independent research articles written by leading experts in the field, is dedicated in his honour, and gives a snapshot of the current and evolving nature of the subject. Some of the articles are written in an expository style, providing a perspective on the current state of the subject to those wishing to learn more about it. Others are more technical, representing new developments and making them especially interesting to researchers for keeping abreast of recent progress.

Hodge Cycles Motives And Shimura Varieties

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Author : Pierre Deligne
language : en
Publisher: Springer Science & Business Media
Release Date : 1982

Hodge Cycles Motives And Shimura Varieties written by Pierre Deligne and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.

This volume collects six related articles. The first is the notes (written by J.S. Milne) of a major part of the seminar "Periodes des Int grales Abeliennes" given by P. Deligne at I'.B.E.S., 1978-79. The second article was written for this volume (by P. Deligne and J.S. Milne) and is largely based on: N Saavedra Rivano, Categories tannakiennes, Lecture Notes in Math. 265, Springer, Heidelberg 1972. The third article is a slight expansion of part of: J.S. Milne and Kuang-yen Shih, Sh ura varieties: conjugates and the action of complex conjugation 154 pp. (Unpublished manuscript, October 1979). The fourth article is based on a letter from P. De1igne to R. Langlands, dated 10th April, 1979, and was revised and completed (by De1igne) in July, 1981. The fifth article is a slight revision of another section of the manuscript of Milne and Shih referred to above. The sixth article, by A. Ogus, dates from July, 1980.

Motives

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Author : Uwe Jannsen
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Motives written by Uwe Jannsen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.

Periods And Nori Motives

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Author : Annette Huber
language : en
Publisher: Springer
Release Date : 2017-03-08

Periods And Nori Motives written by Annette Huber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-08 with Mathematics categories.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich-Zagier and their structural properties. Period numbers are central to number theory and algebraic geometry, and also play an important role in other fields such as mathematical physics. There are long-standing conjectures about their transcendence properties, best understood in the language of cohomology of algebraic varieties or, more generally, motives. Readers of this book will discover that Nori’s unconditional construction of an abelian category of motives (over fields embeddable into the complex numbers) is particularly well suited for this purpose. Notably, Kontsevich's formal period algebra represents a torsor under the motivic Galois group in Nori's sense, and the period conjecture of Kontsevich and Zagier can be recast in this setting. Periods and Nori Motives is highly informative and will appeal to graduate students interested in algebraic geometry and number theory as well as researchers working in related fields. Containing relevant background material on topics such as singular cohomology, algebraic de Rham cohomology, diagram categories and rigid tensor categories, as well as many interesting examples, the overall presentation of this book is self-contained.