The cone conjecture for Calabi-Yau pairs in dimension 2

DOI10.1215/00127094-2010-039zbMath1203.14046arXiv0901.3361OpenAlexW3098742543WikidataQ123230808 ScholiaQ123230808MaRDI QIDQ993595

Burt Totaro

Publication date: 20 September 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3361

zbMATH Keywords

surfacesCalabi-YauCone conjecture

Mathematics Subject Classification ID

Minimal model program (Mori theory, extremal rays) (14E30) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (21)

Remarks on nef and movable cones of hypersurfaces in Mori dream spaces ⋮ Discrete automorphism groups of convex cones of finite type ⋮ Birational Automorphism Groups of Projective Varieties of Picard Number Two ⋮ On the number of minimal models of a log smooth threefold ⋮ On characteristic polynomials of automorphisms of Enriques surfaces ⋮ Finiteness of real structures on KLT Calabi-Yau regular smooth pairs of dimension 2 ⋮ The movable cone of Calabi-Yau threefolds in ruled Fano manifolds ⋮ Nef cones of fiber products and an application to the cone conjecture ⋮ Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces ⋮ Cox rings of surfaces and the anticanonical Iitaka dimension ⋮ The cone of curves and the Cox ring of rational surfaces given by divisorial valuations ⋮ Fano manifolds of indexn− 2 and the cone conjecture ⋮ The cone conjecture for some rational elliptic threefolds ⋮ Combinatorial bounds on Hilbert functions of fat points in projective space ⋮ Morrison-Kawamata cone conjecture for hyperkahler manifolds ⋮ Cox rings of rational surfaces and redundant blow-ups ⋮ A survey of Torelli and monodromy results for holomorphic-symplectic varieties ⋮ Finiteness of Klein actions and real structures on compact hyperkähler manifolds ⋮ The Nef Cone of the Hilbert Scheme of Points on Rational Elliptic Surfaces and the Cone Conjecture ⋮ Unnamed Item ⋮ On automorphisms of the punctual Hilbert schemes of \(K3\) surfaces

Cites Work

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• Calabi-Yau threefolds with positive second Chern class
• Logarithmic Enriques surfaces
• Enriques surfaces. I
• Automorphisms and the Kähler cone of certain Calabi-Yau manifolds
• The cone of curves of a K3 surface
• The total coordinate ring of a smooth projective surface
• Calabi-Yau threefolds with infinitely many divisorial contractions
• Coble rational surfaces
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• Classification of $2$-reflective hyperbolic lattices of rank $4$
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