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arXiv · 1404.7316

The Osculating cone to special Brill-Noether Loci

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.

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Michael Hoff, Ulrike Mayer. 2015-06-03. The Osculating cone to special Brill-Noether Loci. https://doi.org/10.1007/s13348-015-0146-y

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