A description of Chern classes of semistable sheaves on a quadric surface.
A footnote to a paper by Noma
Let be a globally generated ample vector bundle of rank on a complex projective smooth surface . By extending a recent result by A. Noma, we classify pairs as above satisfying .
A Foruier-Mukai transform for stable bundles on K3 surfaces.
A note about the isotropy groups of 2-plane bundles over closed surfaces.
A note on a Brill-Noether locus over a non-hyperelliptic curve of genus 4
We prove that a certain Brill-Noether locus over a non-hyperelliptic curve C of genus 4, is isomorphic to the Donagi-Izadi cubic threefold in the case when the pencils of the two trigonal line bundles of C coincide.
A Note on compact Kähler manifolds with Nef Tangent Bundles.
À propos de la construction de l'espace de modules des faisceaux semi-stables sur le plan projectif
A splitting criterion for rank 2 vector bundles on hypersurfaces in .
ACM bundles on general hypersurfaces in P5 of low degree.
In this paper we show that on a general hypersurface of degree r = 3,4,5,6 in P5 a rank 2 vector bundle ε splits if and only if h1ε(n) = h2ε(n) = 0 for all n ∈ Z. Similar results for r = 1,2 were obtained in [15], [16] and [2].
Algebraic complete integrability of an integrable system of Beauville
We show that the Beauville’s integrable system on a ten dimensional moduli space of sheaves on a K3 surface constructed via a moduli space of stable sheaves on cubic threefolds is algebraically completely integrable, using O’Grady’s construction of a symplectic resolution of the moduli space of sheaves on a K3.
Ample line bundles on blown up surfaces.
Ample vector bundles with sections vanishing along conic fibrations over curves.
Ample vector bundles with zero loci having a bielliptic curve section.
Applications of the Ein-Lazarsfeld cirterion for spannedness of adjoint bundles.
Atiyah Classes and Closed Forms on Moduli Spaces of Sheaves