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arXiv · 2002.02069

Newton polyhedra and good compactification theorem

Askold Khovanskii
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Abstract

A new transparent proof of the well known good compactification theorem for the complex torus $(\Bbb C^*)^n$ is presented. This theorem provides a powerful tool in enumerative geometry for subvarieties in the complex torus. The paper also contains an algorithm constructing a good compactification for a subvariety in $(\Bbb C^*)^n$ explicitly defined by a system of equations. A new theorem on a torodoidal like compactification is stated. A transparent proof of this generalization of the good compactification theorem which is similar to proofs and constructions from this paper will be presented in a forthcoming publication.

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Askold Khovanskii. 2020-02-06. Newton polyhedra and good compactification theorem. https://arxiv.org/abs/2002.02069

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