• The multiplication map for global sections of line bundles and rank 1 torsion free sheaves on curves

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/111/02/0163-0172

    • Keywords

       

      Singular projective curve; rank 1 torsion free sheaf; nodal curve; cuspidal curve; line bundle; special divisor

    • Abstract

       

      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,LM). 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.

    • Author Affiliations

       

      E Ballico1

      1. Department of Mathematics, Università di Trento, Povo, TN - 38050, Italy
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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