Sharp systolic inequalities for Kähler manifolds with positive scalar curvature attain equality on CP^n with Fubini-Study metric and imply Gromov's rational-essentialness conjecture.
On the canonical bundle formula and adjunction for generalized kaehler pairs
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Proves existence of good minimal models for Kähler klt pairs (X, B) with projective Albanese map assuming the general fiber has one.
Non-projective compact Kähler contact manifolds are projectivized tangent bundles of compact Kähler manifolds.
Proves generalized canonical bundle formula for lc-trivial fibrations without nef part assumption in complex analytic setting, plus algebraic counterpart.
citing papers explorer
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Sharp systolic inequalities for K\"ahler manifolds
Sharp systolic inequalities for Kähler manifolds with positive scalar curvature attain equality on CP^n with Fubini-Study metric and imply Gromov's rational-essentialness conjecture.
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On the Existence of Good Minimal Models for K\"ahler Varieties with Projective Albanese Map
Proves existence of good minimal models for Kähler klt pairs (X, B) with projective Albanese map assuming the general fiber has one.
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Compact K\"ahler contact manifolds
Non-projective compact Kähler contact manifolds are projectivized tangent bundles of compact Kähler manifolds.
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Addendum: On generalized canonical bundle formula and boundedness of complements in complex analytic setting
Proves generalized canonical bundle formula for lc-trivial fibrations without nef part assumption in complex analytic setting, plus algebraic counterpart.
- A numerical generalized canonical bundle formula