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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)