Mukai's program (reconstructing a \(K3\) surface from a curve) via wall-crossing

DOI10.1515/crelle-2019-0025zbMath1455.14034arXiv1710.06692OpenAlexW2968204695MaRDI QIDQ2195127

Soheyla Feyzbakhsh

Publication date: 7 September 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06692

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (11)

Stability condition on Calabi–Yau threefold of complete intersection of quadratic and quartic hypersurfaces ⋮ An effective restriction theorem via wall-crossing and Mercat's conjecture ⋮ Stability conditions on Calabi-Yau double/triple solids ⋮ The unreasonable effectiveness of wall-crossing in algebraic geometry ⋮ On the Extendability of Projective Varieties: A Survey ⋮ Koszul modules with vanishing resonance in algebraic geometry ⋮ Erratum to: Mukai's program (reconstructing a \(K3\) surface from a curve) via wall-crossing ⋮ HALF NIKULIN SURFACES AND MODULI OF PRYM CURVES ⋮ Bott vanishing for elliptic surfaces ⋮ On stability conditions for the quintic threefold ⋮ Maximal variation of curves on \(K3\) surfaces

Cites Work

• Computing the walls associated to Bridgeland stability conditions on projective surfaces
• Special divisors on curves on a K3 surface
• Projective degenerations of \(K3\) surfaces, Gaussian maps, and Fano threefolds
• Brill-Noether loci and generated torsionfree sheaves over nodal and cuspidal curves
• Perverse coherent sheaves and Fourier-Mukai transforms on surfaces. II.
• Stability conditions on \(K3\) surfaces
• Stability conditions on triangulated categories
• Equivalences of twisted K3 surfaces
• Lectures on K3 Surfaces
• Mukai's program for curves on a K3 surface
• Lectures on Bridgeland Stability
• Wall-crossing implies Brill-Noether: Applications of stability conditions on surfaces
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