Chern classes of rank 3 stable reflexive sheaves

DOI10.1007/BF01450743zbMath0588.14011OpenAlexW80378475MaRDI QIDQ1073115

Rosa Maria Miró-Roig

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/164198

zbMATH Keywords

Chern classesrank 3 stable reflexive sheaf on projective 3-space

Mathematics Subject Classification ID

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

Related Items

Stable rank 3 reflexive sheaves on \({\mathbb{P}}^ 3\) with extremal \(c_ 3\) ⋮ Sheaves of low rank in three-dimensional projective space ⋮ Tilt-stability, vanishing theorems and Bogomolov-Gieseker type inequalities ⋮ Numerical invariants of rank-2 arithmetically Buchsbaum sheaves ⋮ Stable rank three vector bundles on \(\mathbb P^{4}\) with Chern classes \((c_{1},c_{2},c_{3})=(-2,4,0)\) ⋮ The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds

Cites Work

• Algebraic vector bundles on projective spaces: A problem list
• Stabile reflexive Garben vom Rang 3 auf \(P^ 3\) mit kleinen Chernklassen
• Vector bundles on complex projective spaces
• Restriction theorems for stable rank 3 vector bundles on \(P^ n\).
• Chernklassen semi-stabiler Vektorraumbündel vom Rang 3 auf dem komplex-projektiven Raum.
• Einschränkung stabiler Vektorraumbündel vom Rang 3 Hyperebenen des projectiven Raumes.
• Reflexive Garben vom Rang r>2 auf
• Stable Vector Bundles on Algebraic Surfaces