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Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results

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dc.contributor.author Carlson, J.
dc.contributor.author Green, M.
dc.contributor.author Griffiths, P.
dc.date.accessioned 2019-02-19T17:35:56Z
dc.date.available 2019-02-19T17:35:56Z
dc.date.issued 2009
dc.identifier.citation Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results / J. Carlson, M. Green, P. Griffiths // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 21 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2000 Mathematics Subject Classification: 14C30; 58A15
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/149133
dc.description.abstract This paper is a survey of the subject of variations of Hodge structure (VHS) considered as exterior differential systems (EDS). We review developments over the last twenty-six years, with an emphasis on some key examples. In the penultimate section we present some new results on the characteristic cohomology of a homogeneous Pfaffian system. In the last section we discuss how the integrability conditions of an EDS affect the expected dimension of an integral submanifold. The paper ends with some speculation on EDS and Hodge conjecture for Calabi-Yau manifolds. uk_UA
dc.description.sponsorship This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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