| Full text | |
| Author(s): |
Jardim, Marcos
;
Markushevich, Dimitri
;
Tikhomirov, Alexander S.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Annali di Matematica Pura ed Applicata; v. 196, n. 4, p. 1573-1608, AUG 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
We describe new components of the Gieseker-Maruyama moduli scheme M(n) of semistable rank 2 sheaves E on P-3 with c(1)(E) = 0, c(2)(E) = n and c(3)(E) = 0 whose generic point corresponds to nonlocally free sheaves. We show that such components grow in number as n grows, and discuss how they intersect the instanton component. As an application, we prove that M(2) is connected, and identify a connected subscheme of M(3) consisting of seven irreducible components. (AU) | |
| FAPESP's process: | 14/22807-6 - Boundary of the moduli space of instanton bundles on projective space |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 14/14743-8 - Sheaves on projective varieties |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Regular Research Grants |