Author:
Almeida C.,Jardim M.,Tikhomirov A. S.,Tikhomirov S. A.
Abstract
Abstract
We present a new family of monads whose cohomology is a stable rank 2 vector bundle on
. We also study the irreducibility and smoothness together with a geometrical description of some of these families. These facts are used to construct a new infinite series of rational moduli components of stable rank 2 vector bundles with trivial determinant and growing second Chern class. We also prove that the moduli space of stable rank 2 vector bundles with trivial determinant and second Chern class equal to 5 has exactly three irreducible rational components.
Bibliography: 40 titles.
Funder
Russian Science Foundation
Fundação de Amparo à Pesquisa do Estado de São Paulo
National Council for Scientific and Technological Development
Coordenaҫão de Aperfeiҫoamento de Pessoal de Nível Superior
Subject
Algebra and Number Theory
Cited by
4 articles.
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