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Algebraic Cycles and Hodge Theory

1994-12-16 Mathematics
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Release : 1994-12-16
Genre : Mathematics
Kind : eBook
Book Rating : 920/5 ( 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 1994-12-16. 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.

A Course in Hodge Theory

2021 Hodge theory
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Release : 2021
Genre : Hodge theory
Kind : eBook
Book Rating : 002/5 ( reviews)

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Book Synopsis A Course in Hodge Theory by : Hossein Movasati

Download or read book A Course in Hodge Theory written by Hossein Movasati. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt: Offers an examination of the precursors of Hodge theory: first, the studies of elliptic and abelian integrals by Cauchy, Abel, Jacobi, and Riemann; and then the studies of two-dimensional multiple integrals by Poincare and Picard. The focus turns to the Hodge theory of affine hypersurfaces given by tame polynomials.

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.

Recent Advances in Hodge Theory

2016-02-04 Mathematics
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Release : 2016-02-04
Genre : Mathematics
Kind : eBook
Book Rating : 29X/5 ( reviews)

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Book Synopsis Recent Advances in Hodge Theory by : Matt Kerr

Download or read book Recent Advances in Hodge Theory written by Matt Kerr. This book was released on 2016-02-04. Available in PDF, EPUB and Kindle. Book excerpt: Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers.

Hodge Theory and Complex Algebraic Geometry I:

2007-12-20 Mathematics
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Release : 2007-12-20
Genre : Mathematics
Kind : eBook
Book Rating : 011/5 ( reviews)

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Book Synopsis Hodge Theory and Complex Algebraic Geometry I: by : Claire Voisin

Download or read book Hodge Theory and Complex Algebraic Geometry I: written by Claire Voisin. This book was released on 2007-12-20. Available in PDF, EPUB and Kindle. Book excerpt: This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions.

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