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EXACT SEQUENCES OF SEMISTABLE VECTOR BUNDLES ON ALGEBRAIC CURVES

Published online by Cambridge University Press:  23 October 2000

E. BALLICO  and
B. RUSSO
E. BALLICO
Affiliation:
Università degli studi di Trento, via sommarive, 14, 38050 Povo (TN), Italy; e-mail: ballico@alpha.science.unitn.it, russo@alpha.science.unitn.it
B. RUSSO
Affiliation:
Università degli studi di Trento, via sommarive, 14, 38050 Povo (TN), Italy; e-mail: ballico@alpha.science.unitn.it, russo@alpha.science.unitn.it
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Abstract

Let X be a smooth complex projective curve of genus g [ges ] 1. If g [ges ] 2, then assume further that X is either bielliptic or with general moduli. Fix integers r, s, a, b with r > 1, s > 1 and as [les ] br. Here we prove the existence of an exact sequence

formula here

of semistable vector bundles on X with rk(H) = r, rk(Q) = s, deg(H) = a and deg(Q) = b.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 5 , September 2000 , pp. 537 - 546
Copyright
© The London Mathematical Society 2000

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Footnotes

This research was partially supported by MURST and GNSAGA of CNR (Italy). Both authors are members of the VBAC Research group of Europroj.