Vector bundles: from the instanton family to a new regularity
Moduli spaces of sheaves on Hirzebruch surfaces, Poisson geometry, and integrable ...
Boundary of the moduli space of instanton bundles on projective space
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| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Fed Santa Catarina, Dept Matemat, Florianopolis, SC - Brazil
[2] Univ Estadual Campinas, IMECC, Dept Matemat, BR-13083970 Campinas, SP - Brazil
[3] Univ Fed Minas Gerais, ICEx, Dept Matemat, BR-30123970 Belo Horizonte, MG - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Glasgow Mathematical Journal; v. 57, n. 2, p. 285-321, MAY 2015. |
| Web of Science Citations: | 2 |
| Abstract | |
We present a construction of framed torsion free instanton sheaves on a projective variety containing a fixed line which further generalises the one on projective spaces. This is done by generalising the so called ADHM variety. We show that the moduli space of such objects is a quasi projective variety, which is fine in the case of projective spaces. We also give an ADHM categorical description of perverse instanton sheaves in the general case, along with a hypercohomological characterisation of these sheaves in the particular case of projective spaces. (AU) | |
| FAPESP's process: | 11/01071-3 - Sheaves on projective varieties and representations of quivers |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 09/12576-9 - Geometry of hyperkähler structures |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |