A small resolution for triple covers in algebraic geometry

Mathematics – Algebraic Geometry

Scientific paper

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9 pages

Scientific paper

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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