Yuting Liu
Published 2023-10-30, updated 2023-11-06Version 2
S. Kov\'acs proposed a conjecture on rigidity results induced by ample subsheaves of some exterior power of tangent bundles for projective manifolds. We verify the conjecture in the case of second exterior products under a rank condition. Besides, we prove a structure theorem satisfied by projective manifolds whose third exterior power of tangent bundle is nef following the approach of K. Watanabe.
Positivity of the tangent bundle of rational surfaces with nef anticanonical divisor
On exterior powers of the tangent bundle on toric varieties
Positivity of anti-canonical divisors and $F$-purity of fibers
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