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arXiv · 1310.4915

Fitting ideals and multiple-points of surface parameterizations

Nicolás Botbol·Laurent Busé·Marc Chardin
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Abstract

Given a birational parameterization of an algebraic surface S in the projective space, the purpose of this paper is to investigate the sets of points on S whose preimage consists in k or more points, counting multiplicities. They are described explicitly in terms of Fitting ideals of some graded parts of the symmetric algebra associated to this parameterization.

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Nicolás Botbol, Laurent Busé, Marc Chardin. 2013-10-18. Fitting ideals and multiple-points of surface parameterizations. https://arxiv.org/abs/1310.4915

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