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
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• Resumen

  • We describe the osculating cone to Brill–Noether loci ?0?(?) at smooth isolated points of ?1?(?) for a general canonically embedded curve C of even genus ?=2(?−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.