On smooth Fano threefolds with coregularity zero

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1. Verfasser: Zhakupov, Olzhas
Format: Preprint
Veröffentlicht: 2024
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author Zhakupov, Olzhas
author_facet Zhakupov, Olzhas
contents We provide examples of smooth three-dimensional Fano complete intersections of dergee 2, 4, 6, and 8 that have coregularity 0. Considering the main theorem of arXiv:2309.16784 on the remaining 101 families of smooth Fano threefolds, our result implies that each family of smooth Fano threefolds has an element of coregularity zero.
format Preprint
id arxiv_https___arxiv_org_abs_2409_02523
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On smooth Fano threefolds with coregularity zero
Zhakupov, Olzhas
Algebraic Geometry
We provide examples of smooth three-dimensional Fano complete intersections of dergee 2, 4, 6, and 8 that have coregularity 0. Considering the main theorem of arXiv:2309.16784 on the remaining 101 families of smooth Fano threefolds, our result implies that each family of smooth Fano threefolds has an element of coregularity zero.
title On smooth Fano threefolds with coregularity zero
topic Algebraic Geometry
url https://arxiv.org/abs/2409.02523