The Osculating cone to special Brill-Noether Loci

Michael Hoff; Ulrike Mayer

doi:10.1007/s13348-015-0146-y

The Osculating cone to special Brill-Noether Loci

Algebraic Geometry 2017-10-06 v3

Authors: Michael Hoff , Ulrike Mayer

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Abstract

In this paper, we describe the osculating cone to Brill-Noether loci $W^{0}_{d}(C)$ at smooth isolated points of $W^{1}_{d}(C)$ for a smooth 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 in 1986.

Keywords

osculating cone Brill-Noether loci canonically embedded curve smooth isolated points Kempf techniques even genus

Cite

@article{arxiv.1404.7316,
  title  = {The Osculating cone to special Brill-Noether Loci},
  author = {Michael Hoff and Ulrike Mayer},
  journal= {arXiv preprint arXiv:1404.7316},
  year   = {2017}
}

Comments

18 pages, v3: to appear in Collectanea Mathematica

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