Ample divisors on fine moduli spaces on the projective plane

DOI10.1007/BF01161956zbMath0533.14006OpenAlexW67374011MaRDI QIDQ789456

Stein Arild Strømme

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173500

zbMATH Keywords

Chern classesPicard groupprojective planeample divisorample conefine moduli space for stable rank-2 coherent sheaves

Mathematics Subject Classification ID

Related Items (10)

Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space ⋮ The effective cone of the moduli space of sheaves on the plane ⋮ On the moduli space of semistable rank 2 bundles of Chern classes (0,3) on \({\mathbb{P}}^ 2\) ⋮ The main component of the moduli space of mathematical instanton vector bundles on \(\mathbb{P}^3\) ⋮ On the Hilbert scheme of the moduli space of torsion-free sheaves on surfaces ⋮ SO(3)-Donaldson invariants of \(\mathbb CP^{2}\) and mock theta functions ⋮ A new series of moduli components of rank-2 semistable sheaves on with singularities of mixed dimension ⋮ 1-point Gromov-Witten invariants of the moduli spaces of sheaves over the projective plane ⋮ Sur le morphisme de Barth ⋮ Groupe de Picard des variétés de modules de faisceaux semi-stable sur \({\mathbb{P}}_ 2({\mathbb{C}})\). (Picard group of the moduli varieties of semi- stable sheaves on \({\mathbb{P}}_ 2({\mathbb{C}}))\)

Cites Work

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• On the moduli of vector bundles on an algebraic surface
• Moduli of vector bundles on the projective plane
• Moduli of stable sheaves. II
• Fibres stables de rang 2 sur \(\mathbb{P}_2(\mathbb{C})\)
• Stable rank-2 vector bundles on \(\mathbb{P}_2\) with \(c_1\) odd
• Sur le groupe de Picard de l'espace de modules des fibrés stables sur $\mathbb{P}_2$
• Vector Bundles on Algebraic Surfaces
• The Secant Bundle of a Projective Variety

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