A cohomological splitting criterion for rank 2 vector bundles on Hirzebruch surfaces
In this note, we give a cohomological characterization of all rank 2 split vector bundles on Hirzebruch surfaces.
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arXiv subjects
Kazunori Yasutake
Publications and source records attributed to Kazunori Yasutake.
On the second and third exterior power of tangent bundles of Fano manifolds with birational contractions
In this paper, we classify Fano manifolds with elementary contractions of birational type such that the second or third exterior power of tangent bundles are numerically effective.
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On the second exterior power of tangent bundles of Fano fourfolds with Picard number $rho(X)geqslant2$
In this paper, we classify Fano fourfolds whose the second exterior power of tangent bundles are numerically effective with Picard number greater than one.
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Classification of log del Pezzo surfaces of index three
A normal projective non-Gorenstein log-terminal surface $S$ is called a log del Pezzo surface of index three if the three-times of the anti-canonical divisor $-3K_S$ is an ample Cartier divisor. We classify all of the log del Pezzo surfaces of index three. The technique for the classification based on the argument of Nakayama.
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On projective space bundle with nef normalized tautological divisor
In this paper, we study the structure of projective space bundles whose relative anti-canonical line bundle is nef. As an application, we get a characterization of abelian varieties up to finite etale covering.
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On the classification of rank 2 almost Fano bundles on projective space
An almost Fano bundle is a vector bundle on a smooth projective variety that its projectivization is an almost Fano variety. In this paper, we prove that almost Fano bundles exist only on almost Fano manifolds and study rank 2 almost Fano bundles over projective spaces.
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