Hiromu Tanaka

activity

20122023

most citedOn del Pezzo fibrations in positive characteristic

30 citations · 200 across the 41 of their papers we have counts for

collaborators

Showing 2022Show all

4 papers · 1 filter

math.AG2022

Kawamata-Viehweg vanishing for toric varieties

Hiromu Tanaka

Given a boundary divisor $B$ on a projective toric variety $X$ such that $(X, B)$ is klt, we establish the Kawamata-Viehweg vanishing theorem for $(X, B)$ .

math.AG2022★ 1 cited

Quasi-F-splittings in birational geometry

Tatsuro Kawakami, Teppei Takamatsu, Hiromu Tanaka +3

We develop the theory of quasi- $F$ -splittings in the context of birational geometry. Amongst other things, we obtain results on liftability of sections and establish a criterion fo…

math.AG2022

Contraction images of toric varieties

Hiromu Tanaka

Let $f : X \to Y$ be a proper morphism of normal varieties with $f_{*} O_{X} = O_{Y}$ . If $X$ is toric, then $Y$ is toric and $f$ is a toric morphism for some toric stru…

math.AG2022

Bertini theorems admitting base changes

Hiromu Tanaka

Given a base point free linear system on an algebraic variety, many classes of singularities are stable under taking suitable members after enlarging the base field. We establish a…