Generalized instanton bundles on smooth projective varieties
Boundary of the moduli space of instanton bundles on projective space
Monads on projective varieties, syzygy bundles and Gorenstein Artin algebras
| Full text | |
| Author(s): |
Fontes, Aislan Leal
;
Jardim, Marcos
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Geometriae Dedicata; v. 217, n. 2, p. 25-pg., 2023-04-01. |
| Abstract | |
We propose a three-step program for the classification of stable rank 2 bundles on the projective space P-3 inspired by an article by Hartshorne and Rao. While this classification program has been successfully completed for stable rank 2 bundles with even determinant and c(2) <= 5, much less is known for bundles with odd determinant. After revising the known facts about these objects, we list all possible spectra and minimal monads for stable rank 2 bundles with odd determinant and c(2) <= 8. We provide a full classification of all bundles with positive minimal monads, provide a negative answer to a question raised by Hartshorne and Rao, and describe new irreducible components of the moduli spaces of stable rank 2 bundles with odd determinant and c(2) = 6, 8. (AU) | |
| FAPESP's process: | 18/21391-1 - Gauge theory and algebraic geometry |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Research Projects - Thematic Grants |