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Type: Artigo
Title: Moduli spaces of rank 2 instanton sheaves on the projective space
Author: Jardim, Marcos , Maican, Mario , Tikhomirov, Alexander S.
Abstract: We study the irreducible components of the moduli space of instanton sheaves on P 3 , that is rank 2 torsion free sheaves E with c1(E) = c3(E) = 0 satisfying h 1 (E(−2)) = h 2 (E(−2)) = 0. In particular, we classify all instanton sheaves with c2(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) = dt, 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.
Subject: Teoria de módulos
Teoria de feixes
Country: Estados Unidos
Editor: Mathematical Sciences Publishers
Rights: fechado
Identifier DOI: 10.2140/pjm.2017.291.399
Date Issue: 2017
Appears in Collections:IMECC - Artigos e Outros Documentos

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