Interpolation, Bridgeland stability and monomial schemes in the plane

DOI10.1016/j.matpur.2014.02.010zbMath1436.14010arXiv1305.5287OpenAlexW2962753334MaRDI QIDQ466549

Jack Huizenga, Izzet Coskun

Publication date: 27 October 2014

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5287

zbMATH Keywords

Hilbert schemeBridgeland stabilitymonomial schemesstable base locus

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Parametrization (Chow and Hilbert schemes) (14C05) Syzygies, resolutions, complexes and commutative rings (13D02) Minimal model program (Mori theory, extremal rays) (14E30) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (11)

The effective cone of the moduli space of sheaves on the plane ⋮ The nef cone of the moduli space of sheaves and strong Bogomolov inequalities ⋮ Scattering diagrams, stability conditions, and coherent sheaves on ℙ² ⋮ Castelnuovo-Mumford regularity and Bridgeland stability of points in the projective plane ⋮ Tilt-stability, vanishing theorems and Bogomolov-Gieseker type inequalities ⋮ Birational models of moduli spaces of coherent sheaves on the projective plane ⋮ The cohomology of general tensor products of vector bundles on \(\mathbb{P}^2\) ⋮ Nef divisors for moduli spaces of complexes with compact support ⋮ Birational geometry of moduli spaces of sheaves and Bridgeland stability ⋮ Stability conditions on threefolds with nef tangent bundles ⋮ THE EFFECTIVE CONE OF MODULI SPACES OF SHEAVES ON A SMOOTH QUADRIC SURFACE

Cites Work

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• Algebraic Families on an Algebraic Surface, II, the Picard Scheme of the Punctual Hilbert Scheme
• The Geometry of Syzygies
• Tilting in abelian categories and quasitilted algebras
• Algebraic Families on an Algebraic Surface

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