Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results
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 c...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2009 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149133 |
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| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-149133 |
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Carlson, J. Green, M. Griffiths, P. 2019-02-19T17:35:56Z 2019-02-19T17:35:56Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/149133 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. This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results |
| spellingShingle |
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results Carlson, J. Green, M. Griffiths, P. |
| title_short |
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results |
| title_full |
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results |
| title_fullStr |
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results |
| title_full_unstemmed |
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results |
| title_sort |
variations of hodge structure considered as an exterior differential system: old and new results |
| author |
Carlson, J. Green, M. Griffiths, P. |
| author_facet |
Carlson, J. Green, M. Griffiths, P. |
| publishDate |
2009 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149133 |
| citation_txt |
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. |
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AT carlsonj variationsofhodgestructureconsideredasanexteriordifferentialsystemoldandnewresults AT greenm variationsofhodgestructureconsideredasanexteriordifferentialsystemoldandnewresults AT griffithsp variationsofhodgestructureconsideredasanexteriordifferentialsystemoldandnewresults |
| first_indexed |
2025-12-07T17:03:50Z |
| last_indexed |
2025-12-07T17:03:50Z |
| _version_ |
1850869841546706944 |