Curves of genus 2 and Desargues configurations

Details Curves of genus 2 and Desargues configurations Curves of genus 2 and Desargues configurations

2001-09-20

arxiv.org/abs/math/0109151v1

Mathematics

Algebraic Geometry

19 pages; Latex with xypic, 4 figures

Scientific paper

We study the moduli space M_D of Desargues configurations and how to define a holomorphic map from M_D to M^b_6 the moduli space of stable binary forms of degree 6. The construction of the map goes back to the greek mathematician C. Stephanos who published a paper about this in 1883, using classical geometric invariant theory. We put this in a contemporary context and give a new proof of the properties of the map.We also study degenerations.

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