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On planar webs with infinitesimal automorphisms

Complex Variables 2010-04-05 v1 Differential Geometry

Abstract

We investigate the space of abelian relations of planar webs admitting infinitesimal automorphisms. As an application, we construct 4k-14 new algebraic families of global exceptionnal k-webs on the projective plane, for each k >4.

Cite

@article{arxiv.math/0605066,
  title  = {On planar webs with infinitesimal automorphisms},
  author = {David Marin and Jorge Vitorio Pereira and Luc Pirio},
  journal= {arXiv preprint arXiv:math/0605066},
  year   = {2010}
}

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8 pages