Birational superrigidity and slope stability of Fano manifolds

DOI10.1007/s00209-013-1172-7zbMath1284.14018arXiv1107.3910OpenAlexW2101497435MaRDI QIDQ2435103

Takuzo Okada, Yuji Odaka

Publication date: 3 February 2014

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3910

zbMATH Keywords

slope stabilitybirational superrigidity

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rational and birational maps (14E05) Families, moduli, classification: algebraic theory (14J10) Fano varieties (14J45)

Related Items

Birationally rigid Fano threefold hypersurfaces ⋮ Kähler-Einstein metrics on Pasquier's two-orbits varieties ⋮ Positivity of the CM line bundle for families of \(K\)-stable klt Fano varieties ⋮ Examples of K-Unstable Fano Manifolds with the Picard Number 1 ⋮ K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces ⋮ The Yau-Tian-Donaldson conjecture for cohomogeneity one manifolds ⋮ Birational rigidity and K-stability of Fano hypersurfaces with ordinary double points ⋮ Birationally rigid hypersurfaces ⋮ Birational superrigidity and \(K\)-stability of Fano complete intersections of index \(1\) ⋮ K-stability of Fano varieties: an algebro-geometric approach ⋮ The volume of Kähler-Einstein Fano varieties and convex bodies ⋮ Alpha invariants of birationally bi-rigid Fano 3-folds I ⋮ K-stability of birationally superrigid Fano varieties ⋮ Birational superrigidity and K-stability of projectively normal Fano manifolds of index one ⋮ The moduli space of Fano manifolds with Kähler-Ricci solitons

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