Generischer Spaltungstyp und zweite Chernklasse stabiler Vektorraumbündel vom Rang 4 auf \({\mathbb{P}}_ 4\)

DOI10.1007/BF01161952zbMath0567.14011OpenAlexW1979717150MaRDI QIDQ1059682

Hans Jürgen Hoppe

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/173496

zbMATH Keywords

Chern classesgeneric splitting typesemi-stable reflexive sheaf

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20)

Related Items

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 \(Q_ 3\) ⋮ Semistable Vector Bundles and Tannaka Duality from a Computational Point of View ⋮ Instanton bundles on Fano threefolds ⋮ Triple planes with $p_g=q=0$ ⋮ Three generations on the quintic quotient ⋮ On the stability of the tangent bundle of Fano manifolds ⋮ A note on Bridgeland moduli spaces and moduli spaces of sheaves on \(X_{14}\) and \(Y_3\) ⋮ Rank-two stable sheaves with odd determinant on Fano threefolds of genus nine ⋮ Monad constructions of omalous bundles ⋮ Indecomposable vector bundles via monads on P2n+1 × P2n+1 ⋮ Monads on multiprojective spaces and associated vector bundles ⋮ Matrices of linear forms of constant rank from vector bundles on projective spaces ⋮ Instanton bundles on two Fano threefolds of index 1 ⋮ Hilbert schemes of lines and conics and automorphism groups of Fano threefolds ⋮ A counterexample to a conjecture due to Douglas, Reinbacher and Yau ⋮ Monads on projective varieties ⋮ Vector bundles on Fano threefolds of genus 7 and Brill–Noether loci ⋮ Moduli spaces of rank-2 ACM bundles on prime Fano threefolds ⋮ Tango bundles on Grassmannians ⋮ Stability and unobstructedness of syzygy bundles ⋮ Steiner Bundles on the HyperquadricQ_n ⊂ ℙⁿ⁺¹,n ≥ 3 ⋮ A sharp bound for the number of points where a rank 3 stable reflexive sheaf is not free ⋮ On the Semistability of Instanton Sheaves Over Certain Projective Varieties ⋮ Instanton bundles on the blowup of the projective 3-space at a point

Cites Work

• Der Satz von Grauert-Mülich für beliebige semistabile holomorphe Vektorbündel über dem \(n\)-dimensionalen komplex-projektiven Raum
• Vector bundles on complex projective spaces
• Stable vector bundles of rank 2 on \(P^ 3\)
• Restriction theorems for stable rank 3 vector bundles on \(P^ n\).
• Chernklassen semi-stabiler Vektorraumbündel vom Rang 3 auf dem komplex-projektiven Raum.
• HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES
• Ein Satz über die Einschränkung holomorpher Vektorbündel auf Pn mit c1 = 0 auf Hyperebenen.
• Einschränkung stabiler Vektorraumbündel vom Rang 3 Hyperebenen des projectiven Raumes.
• Boundedness of semi-stable sheaves of small ranks