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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Two families of stable bundles with the same spectrum


Author: A. P. Rao
Journal: Proc. Amer. Math. Soc. 109 (1990), 579-584
MSC: Primary 14F05
DOI: https://doi.org/10.1090/S0002-9939-1990-1019280-0
MathSciNet review: 1019280
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Abstract: We study stable rank two algebraic vector bundles on $ {{\mathbf{P}}^3}$ and show that the family of bundles with fixed Chern classes and spectrum may have more than one irreducible component. We also produce a component where the generic bundle has a monad with ghost terms which cannot be deformed away.


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DOI: https://doi.org/10.1090/S0002-9939-1990-1019280-0
Article copyright: © Copyright 1990 American Mathematical Society