Boundary of the moduli space of instanton bundles on projective space
Moduli spaces of pfaffian representations of cubic three-folds and instanton bundles
Vector bundles: from the instanton family to a new regularity
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| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas, Inst Matemat Estat & Computacao Cient, Rua Segio Buarque Holanda 651, Cidade Univ, BR-13083859 Campinas, SP - Brazil
[2] Romanian Acad, Inst Math, Calea Grivitei 21, Bucharest 010702 - Romania
[3] Natl Res Univ Higher Sch Econ, Dept Math, 6 Usacheva St, Moscow 119048 - Russia
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | PACIFIC JOURNAL OF MATHEMATICS; v. 291, n. 2, p. 399-424, DEC 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
We study the irreducible components of the moduli space of instanton sheaves on P-3, that is, mu-semistable rank 2 torsion-free sheaves E with c(1) (E) = c(3) (E) = 0 satisfying h(1)(E(-2)) = h(2)(E(-2) = 0. In particular, we classify all instanton sheaves with c(2) (E) <= 4, describing all the irreducible components of their moduli space. A key ingredient for our argument is the study of the moduli space T (d) of stable sheaves on P-3 with Hilbert polynomial P (t) = d center dot t, which contains, as an open subset, the moduli space of rank 0 instanton sheaves of multiplicity d; we describe all the irreducible components of T (d) for d <= 4. (AU) | |
| FAPESP's process: | 14/14743-8 - Sheaves on projective varieties |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/03759-6 - Moduli spaces of stable objects on the projective space |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Scholarships abroad - Research |