14 citations · 85 across the 21 of their papers we have counts for
4 papers · 1 filter
Rational linear subspaces of hypersurfaces over finite fields
María Inés de Frutos Fernández, Sumita Garai, Kelly Isham +2
Let be a hypersurface of degree defined over a finite field of characteristic . We prove that if , then contains…
Uniform bounds on symbolic powers in regular rings
Takumi Murayama
We prove a uniform bound on the growth of symbolic powers of arbitrary (not necessarily radical) ideals in arbitrary (not necessarily excellent) regular rings of all characteristic…
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…
Relative vanishing theorems for -schemes
Takumi Murayama
We prove the relative Grauert-Riemenschneider vanishing, Kawamata-Viehweg vanishing, and Kollár injectivity theorems for proper morphisms of schemes of equal characteristic zero, s…