English

Threefolds of globally $F$-regular type with nef anti-canonical divisor

Algebraic Geometry 2024-10-08 v1 Commutative Algebra

Abstract

As a special case of a conjecture by Schwede and Smith, we prove that a smooth complex projective threefold with nef anti-canonical divisor is weak Fano if it is of globally FF-regular type.

Keywords

Cite

@article{arxiv.2410.03871,
  title  = {Threefolds of globally $F$-regular type with nef anti-canonical divisor},
  author = {Paolo Cascini and Tatsuro Kawakami and Shunsuke Takagi},
  journal= {arXiv preprint arXiv:2410.03871},
  year   = {2024}
}

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20 pages