Hodge Numbers from Picard-Fuchs Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Hodge Numbers from Picard-Fuchs Equations
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| Creator |
Doran, C.F.
Harder, A. Thompson, A. |
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| Description |
Given a variation of Hodge structure over P¹ with Hodge numbers (1,1,…,1), we show how to compute the degrees of the Deligne extension of its Hodge bundles, following Eskin-Kontsevich-Möller-Zorich, by using the local exponents of the corresponding Picard-Fuchs equation. This allows us to compute the Hodge numbers of Zucker's Hodge structure on the corresponding parabolic cohomology groups. We also apply this to families of elliptic curves, K3 surfaces and Calabi-Yau threefolds.
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| Date |
2019-02-18T15:44:19Z
2019-02-18T15:44:19Z 2017 |
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| Type |
Article
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| Identifier |
Hodge Numbers from Picard-Fuchs Equations / C.F. Doran, A. Harder, A. Thompson // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 31 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 14D07; 14D05; 14J32 DOI:10.3842/SIGMA.2017.045 http://dspace.nbuv.gov.ua/handle/123456789/148559 |
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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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