On the tangent space to the space of algebraic cycles on a smooth algebraic variety

In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theor...

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Detalles Bibliográficos
Autores principales: Green, Mark, Griffiths, Phillip
Lenguaje:eng
Publicado: Princeton University Press 2004
Materias:
Mathematical Physics and Mathematics
Acceso en línea:http://cds.cern.ch/record/1616840
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author Green, Mark
Griffiths, Phillip
author_facet Green, Mark
Griffiths, Phillip
author_sort Green, Mark
collection CERN
description In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, centered around the normal bundle and the obstructions coming from the normal bundle's first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in p
id cern-1616840
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2004
publisher Princeton University Press
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spelling cern-16168402021-04-21T22:03:54Zhttp://cds.cern.ch/record/1616840engGreen, MarkGriffiths, PhillipOn the tangent space to the space of algebraic cycles on a smooth algebraic varietyMathematical Physics and Mathematics In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, centered around the normal bundle and the obstructions coming from the normal bundle's first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in pPrinceton University Pressoai:cds.cern.ch:16168402004
spellingShingle Mathematical Physics and Mathematics
Green, Mark
Griffiths, Phillip
On the tangent space to the space of algebraic cycles on a smooth algebraic variety
title On the tangent space to the space of algebraic cycles on a smooth algebraic variety
title_full On the tangent space to the space of algebraic cycles on a smooth algebraic variety
title_fullStr On the tangent space to the space of algebraic cycles on a smooth algebraic variety
title_full_unstemmed On the tangent space to the space of algebraic cycles on a smooth algebraic variety
title_short On the tangent space to the space of algebraic cycles on a smooth algebraic variety
title_sort on the tangent space to the space of algebraic cycles on a smooth algebraic variety
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/1616840
work_keys_str_mv AT greenmark onthetangentspacetothespaceofalgebraiccyclesonasmoothalgebraicvariety
AT griffithsphillip onthetangentspacetothespaceofalgebraiccyclesonasmoothalgebraicvariety

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