MODULI SPACES OF RANK 2 INSTANTON SHEAVES ON THE PROJECTIVE SPACE

Autor(es)

Jardim, Marcos ^[1] ; Maican, Mario ^[2] ; Tikhomirov, Alexander S. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: PACIFIC JOURNAL OF MATHEMATICS; v. 291, n. 2, p. 399-424, DEC 2017.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 14/14743-8 - Feixes em variedades projetivas
• Beneficiário: Marcos Benevenuto Jardim
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 16/03759-6 - Espaços de módulos de feixes no espaço projetivo
• Beneficiário: Marcos Benevenuto Jardim
• Modalidade de apoio: Bolsas no Exterior - Pesquisa