The osculating cone to special Brill–Noether loci

• Autores: Michael Hoff, Ulrike Mayer
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 66, Fasc. 3, 2015, págs. 387-403
• Idioma: inglés
• DOI: 10.1007/s13348-015-0146-y
• Texto completo no disponible (Saber más ...)
• Resumen

  • We describe the osculating cone to Brill–Noether loci W^0_d(C) at smooth isolated points of W^1_d(C) for a general canonically embedded curve C of even genus g=2(d-1). In particular, we show that the canonical curve C is a component of the osculating cone. The proof is based on techniques introduced by George Kempf.