On the fundamental groups of surfaces parametrizing cuboids

Fuente: arXiv
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Main Authors: Jarossay, David, Saettone, Francesco Maria, Svoray, Yotam
Format: Preprint
Published: 2023
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author Jarossay, David
Saettone, Francesco Maria
Svoray, Yotam
author_facet Jarossay, David
Saettone, Francesco Maria
Svoray, Yotam
contents We prove that the complex surfaces parametrizing cuboids and face cuboids, as well as their minimal resolution of singularities, have trivial fundamental group. We then compute the fundamental group of certain open smooth subvarieties of the complex surface parametrizing face cuboids.
format Preprint
id arxiv_https___arxiv_org_abs_2310_12710
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On the fundamental groups of surfaces parametrizing cuboids
Jarossay, David
Saettone, Francesco Maria
Svoray, Yotam
Algebraic Geometry
14G05 11G99
We prove that the complex surfaces parametrizing cuboids and face cuboids, as well as their minimal resolution of singularities, have trivial fundamental group. We then compute the fundamental group of certain open smooth subvarieties of the complex surface parametrizing face cuboids.
title On the fundamental groups of surfaces parametrizing cuboids
topic Algebraic Geometry
14G05 11G99
url https://arxiv.org/abs/2310.12710