Étale Fundamental Groups of Strongly $\boldsymbol{F}$-Regular Schemes

DOI10.1093/imrn/rnx253zbMath1457.14045arXiv1611.03884OpenAlexW3105676106MaRDI QIDQ5855161

Kevin Tucker, Karl Schwede, Bhargav Bhatt, Patrick Graf, Javier Carvajal-Rojas

Publication date: 15 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03884

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Minimal model program (Mori theory, extremal rays) (14E30) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (3)

Finite quotients of three-dimensional complex tori ⋮ Polarized endomorphisms of normal projective threefolds in arbitrary characteristic ⋮ The local fundamental group of a Kawamata log terminal singularity is finite

Cites Work

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• Upper semi-continuity of the Hilbert–Kunz multiplicity
• F-regular and F-pure rings vs. log terminal and log canonical singularities
• Uniform bounds in F-finite rings and lower semi-continuity of the F-signature
• Fundamental groups of $F$-regular singularities via $F$-signature
• Finiteness of algebraic fundamental groups
• On the behavior of test ideals under finite morphisms

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