Publication: Vector bundles on G(1,4) without intermediate cohomology
Loading...
Full text at PDC
Publication Date
1999
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Press
Citations
Exportar
Abstract
It is a famous result due to G. Horrocks [Proc. Lond. Math. Soc. (3) 14, 689-713 (1964; Zbl 0126.16801)] that line bundles on a projective space are the only indecomposable vector bundles without intermediate cohomology. This fact generalizes to quadric and grassmannians if we add cohomological conditions. In this paper the case of G(1, 4) is studied completely, and a characterization-classification of vector bundles on it without intermediate cohomology is obtained.
Description
UCM subjects
Unesco subjects
Keywords
Citation
wACx E. Arrondo and L. Costa, Vector bundles on Fano 3-folds without intermediate
cohomology, preprint, 1998.
wASx E. Arrondo and I. Sols, On congruences of lines in the projective space, M´em. Soc.
Math. France 50 �1992..
wBGSx R. O. Buchweitz, G. M. Greuel, and F. O. Schreyer, Cohen]Macaulay modules on
hypersurface singularities, II, In¨ent. Math. 88 �1987., 165]182.
wHx G. Horrocks, Vector bundles on the punctured spectrum of a ring, Proc. London
Math. Soc. �3. 14 �1964., 689]713.
wKSx S. Katz and S. A. Strømme, Schubert, a Maple package for intersection theory,
available at http:rrwww.math.okstaste.edur;;katzrschubert.html or by anonymous
ftp from ftp.math.okstate.edu or linus.mi.uib.no, cd pubrschubert.
wKx H. Kn¨orrer, Cohen]Macaulay modules on hypersurface singularities, I, In¨ent. Math.
88 �1987., 153]164.
wMx C. Madonna, A splitting criterion for rank 2 vector bundles on hypersurfaces in P4,
Rend. Sem. Torino, in press.
wO1x G. Ottaviani, Crit`eres de scindage pour les fibr´es vectoriels sur les grassmannianes et
les quadriques, C.R. Acad. Sci. Paris S´er. I 305 �1987., 257]260.
wO2x G. Ottaviani, Some extensions of Horrocks criterion to vector bundles on Grassman-
nians and quadrics, Ann. Mat. Pura Appl. �4. 155 �1989., 317]341.