Affiliation:
1. Institute of Mathematics Jagiellonian University, ul. Łojasiewicza Krakow Poland
Abstract
AbstractBy the modularity theorem, every rigid Calabi–Yau threefold X has associated modular form f such that the equality of L‐functions holds. In this case, period integrals of X are expected to be expressible in terms of the special values and . We propose a similar interpretation of period integrals of a nodal model of X. It is given in terms of certain variants of a Mellin transform of f. We provide numerical evidence toward this interpretation based on a case of double octics.
Reference16 articles.
1. Computing period integrals of rigid double octic Calabi-Yau threefolds with Picard-Fuchs operator
2. T.Chmiel Coefficients of the monodromy matrices of one‐parameter families of double octic Calabi‐Yau threefolds at a half‐conifold point arXiv:2108.08660.
3. Calabi–Yau differential operator database v.3 https://cydb.mathematik.uni-mainz.de/.
4. Periods of rigid double octic Calabi–Yau threefolds;Cynk S.;Ann. Polon. Math.,2019
5. Classification of double octic Calabi–Yau threefolds with h1,2 ≤ 1 defined by an arrangement of eight planes
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献