The minimal exponent of cones over smooth complete intersection projective varieties

Fuente: arXiv
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Autori principali: Chen, Qianyu, Dirks, Bradley, Mustaţă, Mircea
Natura: Preprint
Pubblicazione: 2024
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author Chen, Qianyu
Dirks, Bradley
Mustaţă, Mircea
author_facet Chen, Qianyu
Dirks, Bradley
Mustaţă, Mircea
contents We compute the minimal exponent of the affine cone over a complete intersection of smooth projective hypersurfaces intersecting transversely. The upper bound for the minimal exponent is proved, more generally, in the weighted homogeneous setting, while the lower bound is deduced from a general lower bound in terms of a strong factorizing resolution in the sense of Bravo and Villamayor.
format Preprint
id arxiv_https___arxiv_org_abs_2404_18289
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The minimal exponent of cones over smooth complete intersection projective varieties
Chen, Qianyu
Dirks, Bradley
Mustaţă, Mircea
Algebraic Geometry
14F10, 14B05, 32S25
We compute the minimal exponent of the affine cone over a complete intersection of smooth projective hypersurfaces intersecting transversely. The upper bound for the minimal exponent is proved, more generally, in the weighted homogeneous setting, while the lower bound is deduced from a general lower bound in terms of a strong factorizing resolution in the sense of Bravo and Villamayor.
title The minimal exponent of cones over smooth complete intersection projective varieties
topic Algebraic Geometry
14F10, 14B05, 32S25
url https://arxiv.org/abs/2404.18289