References & Citations
Mathematics > Algebraic Geometry
Title: On the singularities of quotients by 1-foliations
(Submitted on 28 Nov 2023 (v1), last revised 9 May 2024 (this version, v2))
Abstract: We study the singularities of varieties obtained as infinitesimal quotients by $1$-foliations in positive characteristic. (1) We show that quotients by (log) canonical $1$-foliations preserve the (log) singularities of the MMP. (2) We prove that quotients by multiplicative derivations preserve many properties, amongst which most $F$-singularities. (3) We formulate a notion of families of $1$-foliations, and investigate the corresponding families of quotients.
Submission history
From: Quentin Posva [view email][v1] Tue, 28 Nov 2023 11:08:04 GMT (63kb)
[v2] Thu, 9 May 2024 12:44:39 GMT (53kb)
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