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

Differential Geometry 2019-05-14 v1

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 99 embedded planar ends do not exist and formulate some conjectures about the previous moduli space.

Keywords

Cite

@article{arxiv.1905.04942,
  title  = {On the Moduli Space of Null Curves in Klein's Quadric},
  author = {Alexis Michelat},
  journal= {arXiv preprint arXiv:1905.04942},
  year   = {2019}
}

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25 pages