A compact Kähler manifold carrying a degree-2 hyperbolic cohomology class with nonzero top self-intersection must have nonzero holomorphic sections of adjoint bundles for sufficiently positive bundles, cannot be uniruled, and in dimension two must be of general type.
Introduction to H odge theory , volume 8 of SMF/AMS Texts and Monographs
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CV 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Geometric effects of hyperbolic cohomology classes on K\"ahler manifolds (with an appendix by Beno\^it Claudon)
A compact Kähler manifold carrying a degree-2 hyperbolic cohomology class with nonzero top self-intersection must have nonzero holomorphic sections of adjoint bundles for sufficiently positive bundles, cannot be uniruled, and in dimension two must be of general type.