JP Journal of Geometry and Topology
Volume 1, Issue 2, Pages 135 - 153
(July 2001)
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STABLE AND SIMPLE VECTOR BUNDLES OVER A DOUBLE STRUCTURE ON A SMOOTH CURVE
E. Ballico (Italy)
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Abstract: A ribbon is a double structure on a smooth
projective curve Y, i.e., a locally Cohen-Macaulay one-dimensional scheme X with
Y
:= Xred
a smooth curve and Y appearing with
multiplicity two in X. Here we study the
existence of stable and simple vector bundles and of
stable generalized vector bundles on a ribbon X,
with more detailed results when Y
= P1. |
Keywords and phrases: stable vector bundles, simple vector bundle, double structure, multiple curve. |
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