NEW DIVISORS IN THE BOUNDARY OF THE INSTANTON MODULI SPACE

Autor(es)

Jardim, Marcos ^[1] ; Markushevich, Dimitri ^[2] ; Tikhomirov, Alexander S. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: MOSCOW MATHEMATICAL JOURNAL; v. 18, n. 1, p. 117-148, JAN-MAR 2018.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 14/14743-8 - Feixes em variedades projetivas
• Beneficiário: Marcos Benevenuto Jardim
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 11/06464-3 - Espaços de módulos de fibrados tipo instanton
• Beneficiário: Marcos Benevenuto Jardim
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional