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12 papers · 2 filters
Inversion of adjunction for rational and Du Bois pairs
Sándor J Kovács, Karl Schwede
We prove several results about the behavior Du Bois singularities and Du Bois pairs in families. Some of these generalize existing statements about Du Bois singularities to the pai…
On Strongly -Regular Inversion of Adjunction
Omprokash Das
In this article we give two independent proofs of the positive characteristic analog of the log terminal inversion of adjunction. We show that for a pair in characterist…
Higher ramification loci over homogeneous spaces
Yu-Chao Tu
We generalize the Gaffney-Lazarsfeld theorem on higher ramification loci of branched coverings of to homogeneous spaces with Picard number one.
Generic vanishing in characteristic and the characterization of ordinary abelian varieties
Christopher D. Hacon, Zsolt Patakfalvi
We prove a generic vanishing type statement in positive characteristic and apply it to prove positive characteristic versions of Kawamata's theorems: a characterization of smooth v…
Fano hypersurfaces and their birational geometry
Tommaso de Fernex
We survey some results on the nonrationality and birational rigidity of certain hypersurfaces of Fano type. The focus is on hypersurfaces of Fano index one, but hypersurfaces of hi…
The weak ordinarity conjecture and -singularities
Bhargav Bhatt, Karl Schwede, Shunsuke Takagi
Recently M. Mustata and V. Srinivas related a natural conjecture about the Frobenius action on the cohomology of the structure sheaf after reduction to characteristic with…