Lifting globally $F$-split surfaces to characteristic zero

Fabio Bernasconi; Iacopo Brivio; Tatsuro Kawakami; Jakub Witaszek

Lifting globally $F$-split surfaces to characteristic zero

Algebraic Geometry 2024-08-13 v3

Authors: Fabio Bernasconi , Iacopo Brivio , Tatsuro Kawakami , Jakub Witaszek

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Abstract

We prove that every globally $F$ -split surface admits an equisingular lifting over the ring of Witt vectors.

Cite

@article{arxiv.2205.01779,
  title  = {Lifting globally $F$-split surfaces to characteristic zero},
  author = {Fabio Bernasconi and Iacopo Brivio and Tatsuro Kawakami and Jakub Witaszek},
  journal= {arXiv preprint arXiv:2205.01779},
  year   = {2024}
}