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Type: Artigo
Title: Two infinite series of moduli spaces of rank 2 sheaves on P-3
Author: Jardim, Marcos
Markushevich, Dimitri
Tikhomirov, Alexander S.
Abstract: We describe new components of the Gieseker-Maruyama moduli scheme M(n) of semistable rank 2 sheaves E on P-3 with c(1)(E) = 0, c(2)(E) = n and c(3)(E) = 0 whose generic point corresponds to nonlocally free sheaves. We show that such components grow in number as n grows, and discuss how they intersect the instanton component. As an application, we prove that M(2) is connected, and identify a connected subscheme of M(3) consisting of seven irreducible components.
Subject: Teoria de módulos
Teoria dos feixes
Moduli theory
Sheaf theory
Country: Alemanha
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s10231-016-0630-3
Date Issue: 2017
Appears in Collections:IMECC - Artigos e Outros Documentos

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