Cokernel bundles and Fibonacci bundles | Zendy

Brambilla Maria Chiara | Zendy

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Cokernel bundles and Fibonacci bundles

Author(s) -

Brambilla Maria Chiara

Publication year - 2008

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200510620

Subject(s) - mathematics , fibonacci number , bundle , simple (philosophy) , pure mathematics , resolution (logic) , combinatorics , stability (learning theory) , computer science , artificial intelligence , composite material , philosophy , materials science , epistemology , machine learning

We are interested in those bundles C on ℙ N which admit a resolution of the form 0 → ℂ s ⊗ E $$ \buildrel\mu\over\to $$ ℂ t ⊗ F → C → 0. In this paper we prove that, under suitable conditions on ( E, F ), a generic bundle with this form is either simple or canonically decomposable. As applications we provide an easy criterion for the stability of such bundles on ℙ 2 and we prove the stability when E = , F = (1) and C is an exceptional bundle on ℙ N for N ≥ 2. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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