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Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces

Vernadsky National Library of Ukraine

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Title Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces
 
Creator Kloosterman, R.
 
Description 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].
 
Date 2019-02-19T19:41:01Z
2019-02-19T19:41:01Z
2017
 
Type Article
 
Identifier Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces / R. Kloosterman // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 14G10; 11G25; 14C22; 14J28; 14J70; 14Q10
DOI:10.3842/SIGMA.2017.087
http://dspace.nbuv.gov.ua/handle/123456789/149275
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України