Rank 2 stable vector bundles on \({\mathbb{P}}^ 3({\mathbb{C}})\) with Chern classes \(c_ 1=-1,\) \(c_ 2=4\)

DOI10.1007/BF01215133zbMath0566.14010MaRDI QIDQ1059122

Nicolae Manolache, Constantin Bănică

Publication date: 1985

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

zbMATH Keywords

Chern classmoduli spaceclassification of curves of degree 6stable rank 2 vector bundles

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Characteristic classes and numbers in differential topology (57R20) Algebraic moduli problems, moduli of vector bundles (14D20)

Related Items

New moduli components of rank 2 bundles on projective space ⋮ The moduli of super-null correlation bundles on \({\mathbb P}_ 3\) ⋮ Irreducible components of the moduli space of rank 2 sheaves of odd determinant on projective space ⋮ On moduli of stable 2-bundles with small Chern classes on \(Q_ 3\). Appendix by Nicolae Manolache: The curves \(Y\) of degree 6 with \(\omega_ Y= {\mathcal O}_ Y(-1)\) on a smooth quadric \(Q_ 3\) ⋮ On the existence of a weak Zariski decomposition on projectivized vector bundles ⋮ Series of rational moduli components of stable rank two vector bundles on \(\mathbb{P}^3\) ⋮ \(K3\) double structures on Enriques surfaces and their smoothings ⋮ K3 carpets on minimal rational surfaces and their smoothings ⋮ Globally generated vector bundles on Pn with c1=3 ⋮ Construction of rank 2 semistable torsion free sheaves which are not limit of vector bundles ⋮ Monads and moduli components for stable rank 2 bundles with odd determinant on the projective space ⋮ Stable rank 2 vector bundles with Chern-classes \(c_ 1=-1\), \(c_ 2=4\) ⋮ Families of stable bundles of rank 2 with \(c_1 =-1\) on the space \(\mathbb P^3\)

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• Sur le schéma de Hilbert des variétés de codimension $2$ dans $\mathbf{P}^e$ à cône de Cohen-Macaulay
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