English

Flat 3-webs of degree one on the projective plane

Algebraic Geometry 2015-09-21 v1

Abstract

The aim of this work is to study global 33-webs with vanishing curvature. We wish to investigate degree 33 foliations for which their dual web is flat. The main ingredient is the Legendre transform, which is an avatar of classical projective duality in the realm of differential equations. We find a characterization of degree 33 foliations whose Legendre transform are webs with zero curvature.

Keywords

Cite

@article{arxiv.1509.05587,
  title  = {Flat 3-webs of degree one on the projective plane},
  author = {A. Beltrán and M. Falla Luza and D. Marín},
  journal= {arXiv preprint arXiv:1509.05587},
  year   = {2015}
}

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14 pages