Zeta function of some Kummer Calabi-Yau 3-folds
Dominik Burek
TL;DR
This paper calculates the Hodge numbers and zeta function of specific Kummer Calabi-Yau 3-folds, providing new insights into their geometric and arithmetic properties.
Contribution
It offers explicit computations of Hodge numbers and zeta functions for Kummer Calabi-Yau 3-folds introduced in prior work, advancing understanding of their structure.
Findings
Computed Hodge numbers for the specified Kummer Calabi-Yau 3-folds
Derived the zeta function for these Calabi-Yau varieties
Enhanced knowledge of the arithmetic properties of these geometric objects
Abstract
We compute Hodge numbers and zeta function of a Kummer Calabi-Yau 3-folds introduced by M. Andreatta and J. Wi\'sniewski in arXiv:0804.4611 and investigated by M. Donten-Bury in arXiv:0812.3758.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Advanced Mathematical Identities