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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| Дата: | 2009 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149133 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149133 |
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dspace |
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irk-123456789-1491332019-02-20T01:26:25Z Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results Carlson, J. Green, M. Griffiths, P. 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. 2009 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Carlson, J. Green, M. Griffiths, P. |
| spellingShingle |
Carlson, J. Green, M. Griffiths, P. Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Carlson, J. Green, M. Griffiths, P. |
| author_sort |
Carlson, J. |
| title |
Variations of Hodge Structure Considered as an Exterior Differential System: Old and New Results |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT carlsonj variationsofhodgestructureconsideredasanexteriordifferentialsystemoldandnewresults AT greenm variationsofhodgestructureconsideredasanexteriordifferentialsystemoldandnewresults AT griffithsp variationsofhodgestructureconsideredasanexteriordifferentialsystemoldandnewresults |
| first_indexed |
2023-05-20T17:32:11Z |
| last_indexed |
2023-05-20T17:32:11Z |
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