6 citations · 10 across the 4 of their papers we have counts for
4 papers
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…
Excellence, F-singularities, and solidity
Rankeya Datta, Takumi Murayama, Karen E. Smith
An -algebra is -solid if there exists a nonzero -linear map . In characteristic , the study of -singularities such as Frobenius splittings impli…
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…