Bundles over the Fano Threefold V 5
- 1 August 2005
- journal article
- Published by Taylor & Francis in Communications in Algebra
- Vol. 33 (9) , 3061-3080
Abstract
Using an explicit resolution of the diagonal for the variety V 5, we provide cohomological characterizations of the universal and quotient bundles. A splitting criterion for bundles over V 5 is also proved. The presentation of semistable aCM bundles is shown, together with a resolution–theoretic classification of low rank aCM bundles.Keywords
All Related Versions
This publication has 20 references indexed in Scilit:
- A Beilinson-type theorem for coherent sheaves on weighted projective spacesJournal of Algebra, 2000
- Vector Bundles on G (1, 4) without Intermediate CohomologyJournal of Algebra, 1999
- Fano 3-folds1992
- Helixes, Representations of Quivers and Koszul Algebras1990
- Exceptional Objects and Mutations in Derived Categories1990
- Some extensions of horrocks criterion to vector bundles on Grassmannians and quadricsAnnali di Matematica Pura ed Applicata (1923 -), 1989
- On the derived categories of coherent sheaves on some homogeneous spacesInventiones Mathematicae, 1988
- Minimal rational threefolds1983
- Coherent sheaves on Pn and problems of linear algebraFunctional Analysis and Its Applications, 1978
- Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3American Journal of Mathematics, 1977