G-exceptional vector bundles on P2 and representations of quivers
| Autor: | Maria Chiara Brambilla, Laura Costa |
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| Rok vydání: | 2009 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Fibonacci number Quiver Vector bundle Stable vector bundles Representations of quivers with relations Homogeneous vector bundles Algebra Mathematics::Algebraic Geometry Exceptional bundles Homogeneous Equivalence (formal languages) Mathematics::Symplectic Geometry Mathematics Splitting principle |
| Zdroj: | Journal of Algebra. 321:1343-1365 |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2008.11.017 |
| Popis: | It is known that the category of homogeneous bundles on P 2 is equivalent to the category of representations of a quiver with relation. In this paper we make use of this equivalence to describe a family of G -exceptional bundles on P 2 and to prove that they are stable. We also study the G -exceptionality of Fibonacci bundles on P 2 . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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