F-pure and F-injective singularities in equal characteristic zero

2023/12/22 by Yamaguchi, Tatsuki · 2 citations
#03C20 #13A35 (Primary) #14B05 (Secondary) #14J17 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2312.14508

Abstract

Inspired by Schoutens' results, we introduce a variant of sharp F-purity and sharp F-injectivity in equal characteristic zero via ultraproducts. As an application, we show that if R→ S is pure and S is of dense F-pure type, then R is of dense F-pure type.

Cited by

• Equidimensional morphisms onto splinters are pure
• On the uniform positivity of F-signature under reduction modulo p

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