Explicit brill-noether-petri general curves

Enrico Arbarello, Andrea Bruno, Gavril Farkas, Giulia Saccà

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

Let p1;⋯; pg be the points in A2.(ℚ ⊂ ℙ2.(ℚ) with coordinates (equation Presented) respectively. We prove that, for any genus g, a plane curve of degree 3g having a g-tuple point at p1;⋯; p8, and a (g - 1)-tuple point at pg, and no other singularities, exists and that the general plane curve of that degree and with those singularities is a Brill-Noether-Petri general curve of genus g.

Original languageEnglish
Pages (from-to)477-491
Number of pages15
JournalCommentarii Mathematici Helvetici
Volume91
Issue number3
DOIs
Publication statusPublished - 2016
Externally publishedYes

Keywords

  • Brill-Noether theory
  • Moduli of curves
  • Surfaces with canonical sections

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