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

Published 13 May 2019 in math.DG | (1905.04942v1)

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

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