In this dissertation, we prove a characteristic p> 0 analogue of the log terminal inversion of
adjunction and show the equality of the two technical terms F-Different and Different …

The goal of this article is to present various applications of Frobenius-splitting techniques in
birational geometry. We review some fundamental theorems and show new results obtained …

This work is based on the lectures presented at the International Conference of
Commutative Algebra and Algebraic Geometry held in Messina, Italy. It discusses …

We study Frobenius sandwiches in positive characteristic globally and locally from the
viewpoint of Frobenius splitting and F-singularities. Let X be a smooth variety over an …

り合わせ) を研究する学問である. 放物線 {y= x2} や球面 {x2+ y2+ z2= 1} がその初等的な例である
. このように, 代数多様体の例をいくらか与える事は簡単であるが, 全ての代数多様体を知る事は …

In this thesis, we study the Frobenius split property of Abelian fiber spaces over curves in
positive characteristic. A variety is called Frobenius split if its absolute Frobenius morphism …

た. Lipman–Teissier の論文 [70] の序文にある “The proof given by Briançon and Skoda of this
completely algebraic statement is based on a quite transcendental deep result of Skoda …