Hiromu Tanaka

collaborators

2 papers

math.AG2026

Mumford vanishing for threefolds in positive characteristic

Tatsuro Kawakami, Hiromu Tanaka

Let $X$ be a projective klt threefold in characteristic $p > 5$ and let $L$ be a nef Cartier divisor on $X$ . We show that $H^{1} (X, - L) = 0$ for the following two cases: (1) $K_{X}$ is not…

math.AG2026

Prime Fano threefolds of genus 8 in positive characteristic

Akihiro Kanemitsu, Hiromu Tanaka

We prove that a prime Fano threefold of genus 8 over an algebraically closed field of positive characteristic is isomorphic to a linear section of the Grassmannian variety Gr(2, 6)…