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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Bajravani, A. Focal varieties of curves of genus 6 and 8. Rend. Circ. Mat. Palermo 59, 127–135 (2010). https://doi.org/10.1007/s12215-010-0009-z
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DOI: https://doi.org/10.1007/s12215-010-0009-z