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Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces
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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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| dc.contributor.author | Kloosterman, R. | |
| dc.date.accessioned | 2019-02-19T19:41:01Z | |
| dc.date.available | 2019-02-19T19:41:01Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces / R. Kloosterman // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 14G10; 11G25; 14C22; 14J28; 14J70; 14Q10 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2017.087 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149275 | |
| dc.description.abstract | Let Xλ and X′λ be monomial deformations of two Delsarte hypersurfaces in weighted projective spaces. In this paper we give a sufficient condition so that their zeta functions have a common factor. This generalises results by Doran, Kelly, Salerno, Sperber, Voight and Whitcher [arXiv:1612.09249], where they showed this for a particular monomial deformation of a Calabi-Yau invertible polynomial. It turns out that our factor can be of higher degree than the factor found in [arXiv:1612.09249]. | 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. The author would like to thank John Voight and Tyler Kelly for various conversations on this topic. The author would like to thank the referees for various suggestions to improve the exposition. | 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 | Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
