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Rank two weak Fano bundles on del Pezzo threefolds of degree five.
- Source :
-
International Journal of Mathematics . Nov2023, Vol. 34 Issue 13, p1-36. 36p. - Publication Year :
- 2023
-
Abstract
- This paper classifies rank two vector bundles on a del Pezzo threefold X of degree five whose projectivizations are weak Fano. This classification is then used to determine properties of the moduli spaces of such vector bundles on X , and we determine precisely when the moduli spaces are smooth, irreducible, and fine. We also prove that such a bundle on a del Pezzo threefold of degree one or two splits, and as result gives a classification of weak Fano bundles of rank two on a del Pezzo threefold of Picard rank one. [ABSTRACT FROM AUTHOR]
- Subjects :
- *VECTOR bundles
*VECTOR spaces
Subjects
Details
- Language :
- English
- ISSN :
- 0129167X
- Volume :
- 34
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 173434389
- Full Text :
- https://doi.org/10.1142/S0129167X23500842