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Kummer covers and braid monodromy

  • Enrique Artal Bartolo (a1), José Ignacio Cogolludo-Agustín (a1) and Jorge Ortigas-Galindo (a2)

In this work, we describe a method to construct the generic braid monodromy of the preimage of a curve by a Kummer cover. This method is interesting since it combines two techniques, namely, the construction of a highly non-generic braid monodromy and a systematic method to go from a non-generic to a generic braid monodromy. The latter process, called generification, is independent from Kummer covers, and it can be applied in more general circumstances since non-generic braid monodromies appear more naturally and are oftentimes much easier to compute. Explicit examples are computed using these techniques.

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Journal of the Institute of Mathematics of Jussieu
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