Ample cones of Hilbert schemes of points on hypersurfaces in \(\mathbb{P}^3\)

DOI10.1090/PROC/16980MaRDI QIDQ6658153

Neelarnab Raha

Publication date: 8 January 2025

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hilbert schemesnef conesample coneshypersurfaces in projective 3-space

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Surfaces of general type (14J29) Minimal model program (Mori theory, extremal rays) (14E30)

Cites Work

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• MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
• The nef cone of the moduli space of sheaves and strong Bogomolov inequalities
• The minimal model program for the Hilbert scheme of points on \(\mathbb P^2\) and Bridgeland stability
• 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
• Algebraic Families on an Algebraic Surface, II, the Picard Scheme of the Punctual Hilbert Scheme
• An intersection number for the punctual Hilbert scheme of a surface
• Algebraic Families on an Algebraic Surface
• The Nef Cone of the Hilbert Scheme of Points on Rational Elliptic Surfaces and the Cone Conjecture

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