On the Koszul cohomology of canonical and Prym-canonical binary curves

作者：Colombo Elisabetta^*; Frediani Paola

来源：Bulletin of the London Mathematical Society, 2013, 45(5): 1031-1040.

DOI：10.1112/blms/bdt033

In this paper we study Koszul cohomology and the Green and Prym-Green conjectures for canonical and Prym-canonical binary curves. We prove that, if property N-p holds for a canonical or a Prym-canonical binary curve of genus g, then it holds for a generic canonical or Prym-canonical binary curve of genus g + 1. We also verify the Green and Prym-Green conjectures for generic canonical and Prym-canonical binary curves of low genus (6 %26lt;= g %26lt;= 15, g not equal 8 for Prym-canonical and 3 %26lt;= g %26lt;= 12 for canonical).

• 出版日期2013-10