Optimal bounds for the volumes of Kähler-Einstein Fano manifolds
From MaRDI portal
Publication:4582812
DOI10.1353/ajm.2018.0009zbMath1400.14105arXiv1508.04578OpenAlexW2964337602MaRDI QIDQ4582812
Publication date: 24 August 2018
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.04578
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Fano varieties (14J45)
Related Items (42)
K-MODULI OF CURVES ON A QUADRIC SURFACE AND K3 SURFACES ⋮ Kähler-Einstein metrics and volume minimization ⋮ Geodesic rays and stability in the lowercase cscK problem ⋮ Minimizing normalized volumes of valuations ⋮ Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties ⋮ Generalized Kähler Einstein metrics and uniform stability for toric Fano manifolds ⋮ Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces ⋮ K-stability of cubic fourfolds ⋮ Examples of K-Unstable Fano Manifolds with the Picard Number 1 ⋮ Relative Ding and K-stability of toric Fano manifolds in low dimensions ⋮ Expectations, concave transforms, Chow weights and Roth's theorem for varieties ⋮ ACC for local volumes and boundedness of singularities ⋮ Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties ⋮ Canonical Kähler metrics and stability of algebraic varieties ⋮ Weakly special test configurations of log canonical Fano varieties ⋮ Kähler-Einstein Metrics via Moduli Continuity Method ⋮ GIT Stability, K-Stability and the Moduli Space of Fano Varieties ⋮ Higher codimensional alpha invariants and characterization of projective spaces ⋮ Anticanonically balanced metrics and the Hilbert-Mumford criterion for the \(\delta_m\)-invariant of Fujita-Odaka ⋮ Moser-Trudinger type inequalities for complex Monge-Ampère operators and Aubin's ``hypothèse fondamentale ⋮ Examples of relatively Ding unstable Calabi dream manifolds ⋮ Reductivity of the automorphism group of K-polystable Fano varieties ⋮ On positivity of the CM line bundle on K-moduli spaces ⋮ Kähler-Einstein metrics ⋮ A Guided Tour to Normalized Volume ⋮ Stability of valuations: higher rational rank ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ The volume of singular Kähler–Einstein Fano varieties ⋮ Calabi-Yau manifolds with isolated conical singularities ⋮ Kähler-Einstein metrics: old and new ⋮ Uniqueness of \(\mathrm{K}\)-polystable degenerations of Fano varieties ⋮ A note on equivariant K-stability ⋮ The normalized volume of a singularity is lower semicontinuous ⋮ Thresholds, valuations, and K-stability ⋮ Valuative invariants with higher moments ⋮ Delta invariants of projective bundles and projective cones of Fano type ⋮ On exceptional sets in Manin's conjecture ⋮ \(G\)-uniform stability and Kähler-Einstein metrics on Fano varieties ⋮ Metric rigidity of Kähler manifolds with lower Ricci bounds and almost maximal volume ⋮ Uniform K-stability and asymptotics of energy functionals in Kähler geometry ⋮ \(K\)-stability of cubic threefolds ⋮ Stability of valuations and Kollár components
This page was built for publication: Optimal bounds for the volumes of Kähler-Einstein Fano manifolds