JP Journal of Geometry and Topology
Volume 1, Issue 1, Pages 53 - 57
(March 2001)
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INSEPARABLE DOUBLE COVERINGS OF SMOOTH CURVES
E. Ballico (Italy)
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Abstract:
Let f
: X ®
C be an
inseparable double covering with C smooth
projective curve and X integral projective
curve defined over an algebraically closed field K
with char(K)
= 2. Here we classify all such curves X and study
the Brill-Noether theory of special line bundles on X. |
| Keywords and phrases: singular curve, gorenstein curve, brill-noether theory, double coverings, inseparable degree two covering, special divisor, special line bundle. |
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