English

A small resolution for triple covers in algebraic geometry

Algebraic Geometry 2007-05-23 v3

Abstract

Given a triple cover p: X --> Y of varieties, we produce a new variety Z and a birational morphism f: Z --> X which is an isomorphism away from the fat-point ramification locus of p. The variety Z has a natural interpretation in terms of the data describing the triple cover, and the morphism f has an elegant geometric description.

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Cite

@article{arxiv.math/0204235,
  title  = {A small resolution for triple covers in algebraic geometry},
  author = {Daniele Faenzi and Janis Stipins},
  journal= {arXiv preprint arXiv:math/0204235},
  year   = {2007}
}

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9 pages