[PDF][PDF] Lifting globally -split surfaces to characteristic zero
F Bernasconi, I Brivio, T Kawakami… - arXiv preprint arXiv …, 2022 - arxiv.org
F Bernasconi, I Brivio, T Kawakami, J Witaszek
arXiv preprint arXiv:2205.01779, 2022•arxiv.org… We prove that every globally F-split surface admits an equisingular lifting over the ring of
Witt vectors. … In fact, we show a much stronger result: that a log resolution of every
globally F-split normal projective surface admits a lifting over the ring W(k) of Witt vectors (see
Theorem 5.16 for a more general statement involving pairs). … In particular, as a corollary
to Theorem 1.3 we can construct liftings of globally F-split surfaces over W(k) preserving the
type of singularities and the Picard rank. …
Witt vectors. … In fact, we show a much stronger result: that a log resolution of every
globally F-split normal projective surface admits a lifting over the ring W(k) of Witt vectors (see
Theorem 5.16 for a more general statement involving pairs). … In particular, as a corollary
to Theorem 1.3 we can construct liftings of globally F-split surfaces over W(k) preserving the
type of singularities and the Picard rank. …
We prove that every globally -split surface admits an equisingular lifting over the ring of Witt vectors.
arxiv.org
以上显示的是最相近的搜索结果。 查看全部搜索结果