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A small resolution for triple covers in algebraic geometry

Daniele Faenzi·Janis Stipins
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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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Daniele Faenzi, Janis Stipins. 2002-06-03. A small resolution for triple covers in algebraic geometry. https://arxiv.org/abs/math/0204235

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