an:06407046
Zbl 1408.14133
Ohno, Masahiro; Terakawa, Hiroyuki
A spectral sequence and nef vector bundles of the first Chern class two on hyperquadrics
EN
Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 2, 397-406 (2014).
00338522
2014
j
14J60 14N30 14F05
nef vector bundles; hyperquadrics; spectral sequences; exceptional sequences
Summary: We deduce from Bondal's theorem a spectral sequence, which yields a description, such as a resolution, of a coherent sheaf in terms of a full strong exceptional sequence. We then apply the sequence to the case of a vector bundle given with some cohomological data on a projective space; we obtain a resolution of the vector bundle in terms of exceptional line bundles, resolution which is different from that obtained by the Beilinson spectral sequence. Finally we list all known nef vector bundles of the first Chern class two on a hyperquadric of dimension greater than three.