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arXiv · 1905.04942

On the Moduli Space of Null Curves in Klein's Quadric

Alexis Michelat
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Abstract

We study the moduli space of null curves in Klein's quartic in the four-dimensional (complex) projective plane using methods developed by Robert Bryant. As a consequence, we show that minimal surfaces with $9$ embedded planar ends do not exist and formulate some conjectures about the previous moduli space.

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Alexis Michelat. 2019-05-13. On the Moduli Space of Null Curves in Klein's Quadric. https://arxiv.org/abs/1905.04942

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