Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces
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], whe...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2017 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/149275 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces / R. Kloosterman // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862566188598427648 |
|---|---|
| author | Kloosterman, R. |
| author_facet | Kloosterman, R. |
| citation_txt | Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces / R. Kloosterman // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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].
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| first_indexed | 2025-11-26T00:08:37Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-149275 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-26T00:08:37Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kloosterman, R. 2019-02-19T19:41:01Z 2019-02-19T19:41:01Z 2017 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 https://nasplib.isofts.kiev.ua/handle/123456789/149275 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]. 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces Article published earlier |
| spellingShingle | Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces Kloosterman, R. |
| title | Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces |
| title_full | Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces |
| title_fullStr | Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces |
| title_full_unstemmed | Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces |
| title_short | Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces |
| title_sort | zeta functions of monomial deformations of delsarte hypersurfaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149275 |
| work_keys_str_mv | AT kloostermanr zetafunctionsofmonomialdeformationsofdelsartehypersurfaces |