11 citations · 20 across the 6 of their papers we have counts for
8 papers
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…
Classification of Mukai pairs with dimension and rank
Akihiro Kanemitsu
We give the complete classification of Mukai pairs of dimension and rank with Picard number one, that is, pairs where is a Fano -fold with Picard number one,…
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…