Hilbert schemes of points on some K3 surfaces and Gieseker stable bundles

DOI10.1017/S0305004100074843zbMath0863.14001arXivalg-geom/9412014OpenAlexW2119589098MaRDI QIDQ4892432

Antony Maciocia, Ugo Bruzzo

Publication date: 10 June 1997

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9412014

zbMATH Keywords

Fourier-Mukai transformHilbert schemesGieseker stable vector bundlessheaves on K3 surfaces

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) (K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (5)

Rank two Fourier-Mukai transforms for \(K3\) surfaces ⋮ Stability on a triangulated category and moduli ⋮ Stability and Fourier-Mukai transforms on elliptic fibrations ⋮ Fourier-Mukai transforms of slope stable torsion-free sheaves on a product elliptic threefold ⋮ Torsion pairs and filtrations in abelian categories with tilting objects

Cites Work

• The moduli spaces of some rank-2 stable vector bundles over algebraic \(K\)3-surfaces
• The determinant line bundle over moduli spaces of instantons on abelian surfaces
• Duality between D(X) and with its application to picard sheaves

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