Rank
spanned vector bundles on
with a fixed restriction to a line or a prescribed order of stability
Abstract
Fix a line
. In this note we study rank
spanned vector bundles with prescribed Chern classes and either with a prescribed order of stability or whose restriction to
has a prescribed splitting type, mainly when the splitting type is either rigid or the most extremal one,
. We use the description of the Chern classes of all rank
spanned bundles due to Ph. Ellia.
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DOI Code:
10.1285/i15900932v36n1p25
Keywords:
spanned vector bundles; vector bundles on the plane; splitting type
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