activity
20102026
most citedA survey on the Campana-Peternell Conjecture

28 citations · 70 across the 18 of their papers we have counts for

collaborators

19 papers

math.AG2026

Varieties with Ulrich exterior powers of the tangent bundle

Yuta Takahashi, Kiwamu Watanabe

We study smooth polarized projective varieties whose exterior powers of the tangent bundle are Ulrich. We prove that if is -Ulrich for some …

math.AG2022

Fano -folds with nef tangent bundle in positive characteristic

Yuta Takahashi, Kiwamu Watanabe

In characteristic , the Campana-Peternell conjecture claims that the only smooth Fano variety with nef tangent bundle should be homogeneous. In this paper, we study the positive…

math.AG2022

Positivity of the exterior power of the tangent bundles

Kiwamu Watanabe

Let be a complex smooth projective variety such that the exterior power of the tangent bundle is nef for some . We prove that, up to an étal…

math.AG2020

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…

math.AG2020★ 1 cited

Positivity of the second exterior power of the tangent bundles

Kiwamu Watanabe

Let be a smooth complex projective variety with nef and . We prove that, up to a finite étale cover , the Albanese map $\tilde…

math.AG2019★ 1 cited

Fano manifolds of coindex three admitting nef tangent bundle

Kiwamu Watanabe

We prove that any Fano manifold of coindex three admitting nef tangent bundle is homogeneous.