The Nef Cone of the Hilbert Scheme of Points on Rational Elliptic Surfaces and the Cone Conjecture

DOI10.4153/S0008439520000387zbMath1460.14012arXiv1905.04570WikidataQ123298743 ScholiaQ123298743MaRDI QIDQ5858671

John Kopper

Publication date: 14 April 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04570

zbMATH Keywords

elliptic surfacesHilbert schemes of pointsmoduli spaces of sheavescone conjectureklt Calabi-Yau pairs

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Minimal model program (Mori theory, extremal rays) (14E30) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (2)

Big and nef tautological vector bundles over the Hilbert scheme of points ⋮ Nef cones of fiber products and an application to the cone conjecture

Cites Work

• Computing the walls associated to Bridgeland stability conditions on projective surfaces
• The cone conjecture for Calabi-Yau pairs in dimension 2
• Automorphisms and the Kähler cone of certain Calabi-Yau manifolds
• Rational surfaces with an anti-canonical cycle
• Bridgeland-stable moduli spaces for \(K\)-trivial surfaces
• Stability conditions on \(K3\) surfaces
• Stability conditions on triangulated categories
• Nef cones of Hilbert schemes of points on surfaces
• The Birational Geometry of the Hilbert Scheme of Points on Surfaces
• Projectivity and birational geometry of Bridgeland moduli spaces
• Hilbert’s 14th problem over finite fields and a conjecture on the cone of curves
• Algebraic Families on an Algebraic Surface, II, the Picard Scheme of the Punctual Hilbert Scheme
• Birational geometry of moduli spaces of sheaves and Bridgeland stability
• Algebraic Families on an Algebraic Surface

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