The multiplication map for global sections of line bundles and rank 1 torsion free sheaves on curves
LetX be an integral projective curve andL ∃ Pica(X),M ∃ Picb (X) with h1(X, L)= h1(X, M) = 0 andL, M general. Here we study the rank of the multiplication map μL,M:H0(X,L)⊗H0(X,M)→H0(X,L⊗M). We also study the same problem whenL andM are rank 1 torsion free sheaves onX. Most of our results are forX with only nodes as singularities.
Volume 129 | Issue 5
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