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arXiv · 1007.4283

Focal Varieties of Curves of Genus 6 and 8

Ali Bajravani
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Abstract

In this paper we give a simple Torelli type theorem for curves of genus 6 and 8 by showing that these curves can be reconstructed from their Brill-Noether varieties. Among other results, it is shown that the focal variety of a general, canonical and nonhyperelliptic curve of genus 6 is a hypersurface.

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Ali Bajravani. 2010-07-24. Focal Varieties of Curves of Genus 6 and 8. https://doi.org/10.1007/s12215-010-0009-z

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