Convex Fujita numbers are not determined by the fundamental group

Fuente: arXiv
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Autori principali: Chen, Jiaming, Küronya, Alex, Mustopa, Yusuf, Stix, Jakob
Natura: Preprint
Pubblicazione: 2023
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author Chen, Jiaming
Küronya, Alex
Mustopa, Yusuf
Stix, Jakob
author_facet Chen, Jiaming
Küronya, Alex
Mustopa, Yusuf
Stix, Jakob
contents We study effective global generation of adjoint line bundles on smooth projective varieties. To measure the effectivity we introduce the concept of the convex Fujita number of a smooth projective variety and compute its value for a class of varieties with prescribed dimension $d \geq 2$ and an arbitrary projective group as fundamental group.
format Preprint
id arxiv_https___arxiv_org_abs_2301_06367
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Convex Fujita numbers are not determined by the fundamental group
Chen, Jiaming
Küronya, Alex
Mustopa, Yusuf
Stix, Jakob
Algebraic Geometry
14F35, 14E20, 14J70
We study effective global generation of adjoint line bundles on smooth projective varieties. To measure the effectivity we introduce the concept of the convex Fujita number of a smooth projective variety and compute its value for a class of varieties with prescribed dimension $d \geq 2$ and an arbitrary projective group as fundamental group.
title Convex Fujita numbers are not determined by the fundamental group
topic Algebraic Geometry
14F35, 14E20, 14J70
url https://arxiv.org/abs/2301.06367