Hodge Numbers from Picard-Fuchs Equations

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік
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dc.contributor.author	Doran, C.F.
dc.contributor.author	Harder, A.
dc.contributor.author	Thompson, A.
dc.date.accessioned	2019-02-18T15:44:19Z
dc.date.available	2019-02-18T15:44:19Z
dc.date.issued	2017
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 14D07; 14D05; 14J32
dc.identifier.other	DOI:10.3842/SIGMA.2017.045
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/148559
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Modular Forms and String Theory in honor of Noriko Yui. The full collection is available at http://www.emis.de/journals/SIGMA/modular-forms.html. C.F. Doran (University of Alberta) was supported by the Natural Sciences and Engineering Research Council of Canada, the Pacific Institute for the Mathematical Sciences, and the Visiting Campobassi Professorship at the University of Maryland. A. Harder (University of Miami) was partially supported by the Simons Collaboration Grant in Homological Mirror Symmetry. A. Thompson (University of Warwick/University of Cambridge) was supported by the Engineering and Physical Sciences Research Council programme grant Classification, Computation, and Construction: New Methods in 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	Hodge Numbers from Picard-Fuchs Equations	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA