Some Identities For Periods of Hulek-Verrill Threefolds

Fuente: arXiv
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Autori principali: de la Ossa, Xenia, Elmi, Mohamed
Natura: Preprint
Pubblicazione: 2025
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author de la Ossa, Xenia
Elmi, Mohamed
author_facet de la Ossa, Xenia
Elmi, Mohamed
contents We study the Hulek--Verrill families of Calabi--Yau threefolds. They are birationally equivalent to fibred products of elliptic surfaces, so we expect to be able to compute periods on these threefolds by integrating products of elliptic periods over a contour on $\mathbb{P}^1$. We numerically verify this in several examples. This article was submitted to MATRIX Annals (2024) for inclusion in the proceedings of the conference "The Geometry of Moduli Spaces in String Theory", held 2--13 September 2024.
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id arxiv_https___arxiv_org_abs_2510_17352
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publishDate 2025
record_format arxiv
spellingShingle Some Identities For Periods of Hulek-Verrill Threefolds
de la Ossa, Xenia
Elmi, Mohamed
Algebraic Geometry
High Energy Physics - Theory
We study the Hulek--Verrill families of Calabi--Yau threefolds. They are birationally equivalent to fibred products of elliptic surfaces, so we expect to be able to compute periods on these threefolds by integrating products of elliptic periods over a contour on $\mathbb{P}^1$. We numerically verify this in several examples. This article was submitted to MATRIX Annals (2024) for inclusion in the proceedings of the conference "The Geometry of Moduli Spaces in String Theory", held 2--13 September 2024.
title Some Identities For Periods of Hulek-Verrill Threefolds
topic Algebraic Geometry
High Energy Physics - Theory
url https://arxiv.org/abs/2510.17352