Focal Varieties of Curves of Genus 6 and 8

Details Focal Varieties of Curves of Genus 6 and 8 Focal Varieties of Curves of Genus 6 and 8

2010-07-24

arxiv.org/abs/1007.4283v1

Rendiconti del Circolo Matematico di Palermo 59, 127-135 (2010)

Mathematics

Algebraic Geometry

This paper consists of 9 pages

Scientific paper

10.1007/s12215-010-0009-z

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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