Convex Fujita numbers are not determined by the fundamental group

Jiaming Chen; Alex Küronya; Yusuf Mustopa; Jakob Stix

Convex Fujita numbers are not determined by the fundamental group

Algebraic Geometry 2024-07-02 v2

Authors: Jiaming Chen , Alex Küronya , Yusuf Mustopa , Jakob Stix

Abstract

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.

Keywords

adjoint line bundles effective global generation convex fujita number smooth projective varieties fundamental group projective group

Cite

@article{arxiv.2301.06367,
  title  = {Convex Fujita numbers are not determined by the fundamental group},
  author = {Jiaming Chen and Alex Küronya and Yusuf Mustopa and Jakob Stix},
  journal= {arXiv preprint arXiv:2301.06367},
  year   = {2024}
}

Comments

Title changed. Accepted version, to appear in Adv. Geom

Convex Fujita numbers are not determined by the fundamental group

Abstract

Keywords

Cite

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