On the Koszul cohomology of canonical and Prym‐canonical binary curves | Zendy

Colombo Elisabetta | Zendy; Frediani Paola | Zendy

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

Author(s) -

Colombo Elisabetta,

Frediani Paola

Publication year - 2013

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdt033

Subject(s) - mathematics , binary number , pure mathematics , canonical form , genus , cohomology , arithmetic , botany , biology

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 ⩽ g ⩽ 15, g ≠ 8 for Prym‐canonical and 3 ⩽ g ⩽ 12 for canonical).

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