Moduli spaces of pfaffian representations of cubic three-folds and instanton bundles
Boundary of the moduli space of instanton bundles on projective space
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, IMECC, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083970 Campinas, SP - Brazil
[2] Univ Lille 1, Math, Bat M2, F-59655 Villeneuve Dascq - France
[3] Natl Res Univ, Higher Sch Econ, Fac Math, 6 Usacheva St, Moscow 119048 - Russia
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | MOSCOW MATHEMATICAL JOURNAL; v. 18, n. 1, p. 117-148, JAN-MAR 2018. |
| Web of Science Citations: | 2 |
| Abstract | |
Let I(n) denote the moduli space of rank 2 instanton bundles of charge n on P-3. It is known that I(n) is an irreducible, nonsingular and affine variety of dimension 8n - 3. Since every rank 2 instanton bundle on P-3 is stable, we may regard 1(n) as an open subset of the projective Gieseker-Maruyama moduli scheme M (n) of rank 2 semistable torsion free sheaves F on P-3 with Chern classes c(1) = c(3) = 0 and c(2) = n, and consider the closure <(I(n))over bar> of I(n) in M(n). We construct some of the irreducible components of dimension 8n-4 of the boundary partial derivative I(n) := <(I(n))over bar>\textbackslash{}I(n). These components generically lie in the smooth locus of M (n) and consist of rank 2 torsion free instanton sheaves with singularities along rational curves. (AU) | |
| FAPESP's process: | 14/14743-8 - Sheaves on projective varieties |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 11/06464-3 - Moduli spaces of instantons bundles |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |