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 2015Show all

4 papers · 1 filter

math.AG2015★ 8 cited

Rational points on log Fano threefolds over a finite field

Yoshinori Gongyo, Yusuke Nakamura, Hiromu Tanaka

We prove the $W O$ -rationality of klt threefolds and the rational chain connectedness of klt Fano threefolds over a perfect field of characteristic $p > 5$ . As a consequence…

math.AG2015★ 4 cited

Semiample perturbations for log canonical varieties over an F-finite field containing an infinite perfect field

Hiromu Tanaka

Let $k$ be an $F$ -finite field containing an infinite perfect field of positive characteristic. Let $(X, Δ)$ be a projective log canonical pair over $k$ . In this note we show that,…

math.AG2015★ 9 cited

Abundance theorem for surfaces over imperfect fields

Hiromu Tanaka

In this paper, we show the abundance theorem for log canonical surfaces over fields of positive characteristic.

math.AG2015★ 11 cited

Behavior of canonical divisors under purely inseparable base changes

Hiromu Tanaka

Let $k$ be an imperfect field. Let $X$ be a regular variety over $k$ and set $Y$ to be the normalization of $(X \times_{k} k^{1/ p^{\infty}})_{red}$ . In this paper, we show that $…