Akihiro Kanemitsu

activity

20152026

most citedFano 5-folds with nef tangent bundles

11 citations · 26 across the 11 of their papers we have counts for

collaborators

11 papers

math.AG2026

Prime Fano threefolds in positive characteristic

Akihiro Kanemitsu, Hiromu Tanaka

We prove that every prime Fano threefold of genus $\geq 7$ in positive characteristic is a linear section of a Mukai variety.

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)…

math.AG2021

Kähler-Einstein metrics on Pasquier's two-orbits varieties

Akihiro Kanemitsu

We show that there exist Kähler-Einstein metrics on two exceptional Pasquier's two-orbits varieties. As an application, we will provide a new example of K-unstable Fano manifold wi…

math.AG2020

Projective varieties with nef tangent bundle in positive characteristic

Akihiro Kanemitsu, Kiwamu Watanabe

Let $X$ be a smooth projective variety defined over an algebraically closed field of positive characteristic $p$ whose tangent bundle is nef. We prove that $X$ admits a smooth morp…

math.AG2019★ 2 cited

Fano manifolds and stability of tangent bundles

Akihiro Kanemitsu

We determine the stability/instability of the tangent bundles of the Fano varieties in a certain class of two orbit varieties, which are classified by Pasquier in 2009. As a conseq…

math.AG2018★ 2 cited

Mukai pairs and simple $K$ -equivalence

Akihiro Kanemitsu

A $K$ -equivalent map between two smooth projective varieties is called simple if the map is resolved in both sides by single smooth blow-ups. In this paper, we will provide a struc…

math.AG2018★ 1 cited

Classification of Mukai pairs with dimension $4$ and rank $2$

Akihiro Kanemitsu

We give the complete classification of Mukai pairs of dimension $4$ and rank $2$ with Picard number one, that is, pairs $(X, E)$ where $X$ is a Fano $4$ -fold with Picard number one,…

math.AG2017★ 2 cited

Classification of Mukai pairs with corank $3$

Akihiro Kanemitsu

We classify pairs $(X, E)$ where $X$ is a smooth Fano manifold of dimension $n \geq 5$ and $E$ is an ample vector bundle of rank $n - 2$ on $X$ with $c_1(\mathscr E)…

math.AG2016★ 3 cited

Extremal rays and nefness of tangent bundles

Akihiro Kanemitsu

In view of Mori theory, rational homogenous manifolds satisfy a recursive condition: every elementary contraction is a rational homogeneous fibration and the image of any elementar…

math.AG2015★ 5 cited