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Lectures on Algebraic Cycles

2010-07-22 Mathematics
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Release : 2010-07-22
Genre : Mathematics
Kind : eBook
Book Rating : 825/5 ( reviews)

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Book Synopsis Lectures on Algebraic Cycles by : Spencer Bloch

Download or read book Lectures on Algebraic Cycles written by Spencer Bloch. This book was released on 2010-07-22. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lectures on Algebraic Cycles

1980
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Release : 1980
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Book Synopsis Lectures on Algebraic Cycles by : Spencer J. Bloch (Mathematician, United States)

Download or read book Lectures on Algebraic Cycles written by Spencer J. Bloch (Mathematician, United States). This book was released on 1980. Available in PDF, EPUB and Kindle. Book excerpt:

Algebraic Cycles and Hodge Theory

2004-09-02 Mathematics
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Release : 2004-09-02
Genre : Mathematics
Kind : eBook
Book Rating : 469/5 ( reviews)

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Book Synopsis Algebraic Cycles and Hodge Theory by : Mark L. Green

Download or read book Algebraic Cycles and Hodge Theory written by Mark L. Green. This book was released on 2004-09-02. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebraic Cycles, Sheaves, Shtukas, and Moduli

2008
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Release : 2008
Genre :
Kind : eBook
Book Rating : 362/5 ( reviews)

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Book Synopsis Algebraic Cycles, Sheaves, Shtukas, and Moduli by : Piotr Pragacz

Download or read book Algebraic Cycles, Sheaves, Shtukas, and Moduli written by Piotr Pragacz. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt:

The Arithmetic and Geometry of Algebraic Cycles

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 987/5 ( reviews)

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Book Synopsis The Arithmetic and Geometry of Algebraic Cycles by : B. Brent Gordon

Download or read book The Arithmetic and Geometry of Algebraic Cycles written by B. Brent Gordon. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute on "The Arithmetic and Geometry of Algebraic Cycles" was held at the Banff Centre for Conferences in Banff (Al berta, Canada) from June 7 until June 19, 1998. This meeting was organized jointly with Centre de Recherches Mathematiques (CRM), Montreal, as one of the CRM Summer schools which take place annually at the Banff Center. The conference also served as the kick-off activity of the CRM 1998-99 theme year on Number Theory and Arithmetic Geometry. There were 109 participants who came from 17 countries: Belgium, Canada, China, France, Germany, Greece, India, Italy, Japan, Mexico, Netherlands, - mania, Russia, Spain, Switzerland, the United Kingdom and the United States. During a period of two weeks, 41 invited lectures and 20 contributed lec tures were presented. Four lectures by invited speakers were delivered every day, followed by two sessions of contributed talks. Many informal discussions and working sessions involving small groups were organized by individual partic ipants. In addition, participants' reprints and preprints were displayed through out in a lounge next to the auditorium, which further enhanced opportunities for communication and interaction.

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