Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results
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| Creator |
Carlson, J.
Green, M. Griffiths, P. |
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| Description |
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.
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| Date |
2019-02-19T17:35:56Z
2019-02-19T17:35:56Z 2009 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 14C30; 58A15 http://dspace.nbuv.gov.ua/handle/123456789/149133 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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