6 citations · 10 across the 6 of their papers we have counts for
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Equidimensional morphisms onto splinters are pure
Takumi Murayama
We prove that a Noetherian ring is a splinter if and only if for every equidimensional surjective morphism , the map $R \to S…
Moving Seshadri constants and effective Fujita-type conjectures
Takumi Murayama
Fujita's conjecture is known to be false in positive characteristic. We conjecture and give an approach to a new variant of Fujita's conjecture for the basepoint-freeness, very amp…
Injectivity theorems and cubical descent for schemes, stacks, and analytic spaces
Takumi Murayama
We prove relative injectivity, torsion-freeness, and vanishing theorems for generalized normal crossing pairs on schemes, algebraic stacks, formal schemes, semianalytic germs of co…
New constructions of nef classes on self-products of curves
Mihai Fulger, Takumi Murayama
We study the nef cone of self-products of a curve. When the curve is very general of genus , we construct a nontrivial class of self-intersection 0 on the boundary of the nef…
Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods
Takumi Murayama
In 1988, Fujita conjectured that there is an effective and uniform way to turn an ample line bundle on a smooth projective variety into a globally generated or very ample line bund…
Seshadri constants for vector bundles
Mihai Fulger, Takumi Murayama
We introduce Seshadri constants for line bundles in a relative setting. They generalize the classical Seshadri constants of line bundles on projective varieties and their extension…