Effective divisors on the Hilbert scheme of points in the plane and interpolation for stable bundles

DOI10.1090/jag/652zbMath1369.14011arXiv1210.6576OpenAlexW2962772042MaRDI QIDQ2788618

Jack Huizenga

Publication date: 19 February 2016

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6576

zbMATH Keywords

exceptional bundlesHilbert schemes of pointseffective conesprojective plan

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (19)

The effective cone of the moduli space of sheaves on the plane ⋮ Existence of semistable sheaves on Hirzebruch surfaces ⋮ Ample stable vector bundles on rational surfaces ⋮ Scattering diagrams, stability conditions, and coherent sheaves on ℙ² ⋮ Strange duality for height zero moduli spaces of sheaves on \(\mathbb{P}^{2}\) ⋮ Castelnuovo-Mumford regularity and Bridgeland stability of points in the projective plane ⋮ BRILL–NOETHER THEOREMS AND GLOBALLY GENERATED VECTOR BUNDLES ON HIRZEBRUCH SURFACES ⋮ Effective divisors and Newton-Okounkov bodies of Hilbert schemes of points on toric surfaces ⋮ On the birational geometry of Hilbert schemes of points and Severi divisors ⋮ Normal bundles of rational curves on complete intersections ⋮ MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations ⋮ Points algébriques de hauteur bornée sur une surface ⋮ ON THE POSITION OF NODES OF PLANE CURVES ⋮ The cohomology of general tensor products of vector bundles on \(\mathbb{P}^2\) ⋮ Weak Brill-Noether for rational surfaces ⋮ Semistable sheaves with symmetric \(c_1\) on Del Pezzo surfaces of degree \(5\) and \(6\) ⋮ Birational geometry of moduli spaces of sheaves and Bridgeland stability ⋮ SEMISTABLE SHEAVES WITH SYMMETRIC ON A QUADRIC SURFACE ⋮ THE EFFECTIVE CONE OF MODULI SPACES OF SHEAVES ON A SMOOTH QUADRIC SURFACE

Uses Software

• MathOverflow

Cites Work

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• Restrictions of Steiner Bundles and Divisors on the Hilbert Scheme of Points in the Plane
• Cokernel bundles and Fibonacci bundles
• Algebraic Families on an Algebraic Surface
• Semi-invariants of quivers for arbitrary dimension vectors

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