28 citations · 91 across the 29 of their papers we have counts for
30 papers
On vanishing of higher direct images of the structure sheaf
Shihoko Ishii, Ken-ichi Yoshida
We show the vanishing of the first direct image of the structure sheaf of a normal scheme which is mapped properly and birationally over a regular scheme of any dimension. On t…
A bound of the number of weighted blow-ups to compute the minimal log discrepancy for smooth 3-folds
Shihoko Ishii
We study a pair consisting of a smooth 3-fold defined over an algebraically closed field and a general real ideal. We show that the minimal log discrepancy of every such a pair is…
The minimal log discrepancies on a smooth surface in positive characteristic
Shihoko Ishii
This paper shows that Mustata-Nakamura's conjecture holds for pairs consisting of a smooth surface and a multiideal with a real exponent over the base field of positive characteris…
Inversion of modulo p reduction and a partial descent from characteristic 0 to positive characteristic
Shihoko Ishii
In this paper we focus on pairs consisting of the affine -space and multiideals with a positive exponent. We introduce a method "lifting to characteristic 0" which is a kind of…
Jet closures and the local isomorphism problem
Tommaso de Fernex, Lawrence Ein, Shihoko Ishii
If a morphism of germs of schemes induces isomorphisms of all local jet schemes, does it follow that the morphism is an isomorphism? This problem is called the local isomorphism pr…
Finite determination conjecture for Mather-Jacobian minimal log discrepancies and its applications
Shihoko Ishii
In this paper we study singularities in arbitrary characteristic. We propose Finite Determination Conjecture for Mather-Jacobian minimal log discrepancies in terms of jet schemes o…