Showing papers by "Sukmoon Huh published in 2011"
TL;DR: In this paper, the authors classify all the embeddings of in a Grassmannian Gr(1, N) such that the composition with the Plucker embedding is given by a linear system of cubics on.
Abstract: We classify all the embeddings of in a Grassmannian Gr(1, N) such that the composition with the Plucker embedding is given by a linear system of cubics on . As a direct corollary, we prove that every vector bundle giving such an embedding, splits if n ⩾ 3. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
7 citations
TL;DR: In this article, it was shown that the moduli space of stable sheaves of rank 2 with the Chern classes c 1 = O Q ( 1, 1 ) and c 2 = 2 on a smooth quadric Q in P 3 is isomorphic to P 3.
7 citations
TL;DR: In this article, the authors investigated the jumping conics of stable vector bundles E of rank 2 on a smooth quadric surface Q with the first Chern class with respect to the ample line bundle.
Abstract: We investigate the jumping conics of stable vector bundles E of rank 2 on a smooth quadric surface Q with the first Chern class \({c_1= \mathcal{O}_Q(-1,-1)}\) with respect to the ample line bundle \({\mathcal {O}_Q(1,1)}\) . We show that the set of jumping conics of E is a hypersurface of degree c2(E) − 1 in \({\mathbb {P}_3^{*}}\) . Using these hypersurfaces, we describe moduli spaces of stable vector bundles of rank 2 on Q in the cases of lower c2(E).
2 citations