JP Journal of Geometry and Topology
Volume 1, Issue 2, Pages 227 - 230
(July 2001)
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ON THE MULTIPLICATION MAP FOR NON-SPECIAL LINE BUNDLES ON CURVES
E. Ballico (Italy)
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Abstract: Fix integers g, d with
g
³
2 and d
³
(2g
+ 1 + (8g + 1)1/2)/2. Let X be a general smooth curve of genus g
and L be a general line bundle on
X with deg(L)
= d.
Here we prove that for all divisors A
³
0, B
³
0 on X the multiplication map H0(X, L(A)) Ä
H0(X,
L(B))
®
H0(X, L
Ä
L(A + B))
is surjective. |
Keywords and phrases: line bundle, non special line bundle, global sections, line bundles on curves. |
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