2015/03/30 by Vasudevan Srinivas, Shunsuke Takagi, Srinivas, Vasudevan +1 · 1 citation
Mathematics · #13A35 #13C20 #14C30 #14F22 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13A35 #msc:13C20 #msc:14C30 #msc:14F22
paper · pdf · doi:10.48550/arxiv.1503.08772
18 pages; v2: several typos fixed
openalex publication_date 2015/03/30 · arxiv created 2015/04/10 · arxiv updated 2015/04/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
An F-nilpotent local ring is a local ring (R, \mathfrakm) of prime characteristic defined by the nilpotence of the Frobenius action on its local cohomology modules Hi_\mathfrakm(R). A singularity in characteristic zero is said to be of F-nilpotent type if its modulo p reduction is F-nilpotent for almost all p. In this paper, we give a Hodge-theoretic interpretation of three-dimensional normal isolated singularities of F-nilpotent type. In the graded case, this yields a characterization of these singularities in terms of divisor class groups and Brauer groups.