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Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces
Репозиторій DSpace/Manakin
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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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Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces
Інший ID:
2010 Mathematics Subject Classification: 14G10; 11G25; 14C22; 14J28; 14J70; 14Q10
DOI:10.3842/SIGMA.2017.087
DOI:10.3842/SIGMA.2017.087
Посилання:
Zeta Functions of Monomial Deformations of Delsarte Hypersurfaces / R. Kloosterman // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ.
Підтримка:
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.
Дата:
2017
Переглядів:
702
Завантажень:
304
Анотація:
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].
