11 citations · 20 across the 8 of their papers we have counts for
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Prime Fano threefolds in positive characteristic
Akihiro Kanemitsu, Hiromu Tanaka
We prove that every prime Fano threefold of genus in positive characteristic is a linear section of a Mukai variety.
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)…
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…
Projective varieties with nef tangent bundle in positive characteristic
Akihiro Kanemitsu, Kiwamu Watanabe
Let be a smooth projective variety defined over an algebraically closed field of positive characteristic whose tangent bundle is nef. We prove that admits a smooth morp…
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…
Mukai pairs and simple -equivalence
Akihiro Kanemitsu
A -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…