JournalscmhVol. 82 , No. 3DOI 10.4171/cmh/104

Non-vanishing for Koszul cohomology of curves

  • M. Aprodu

    Romanian Academy, Bucharest, Romania
  • J. Nagel

    Université Lille I, Villeneuve D'ascq, France
Non-vanishing for Koszul cohomology of curves cover

Abstract

We study the relationship between rank p + 2 Koszul classes and rank 2 vector bundles on a smooth curve. We show that every rank p + 2 Koszul class is obtained from a rank 2 vector bundle and give an explicit nonvanishing theorem for Koszul classes arising in this way.