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arXiv · 1608.02815

Nagata's compactification theorem for normal toric varieties over a valuation ring of rank one

Alejandro Soto
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Abstract

We prove, using invariant Zariski-Riemann spaces, that every normal toric variety over a valuation ring of rank one can be embedded as an open dense subset into a proper toric variety equivariantly. This extends a well known theorem of Sumihiro for toric varieties over a field to this more general setting.

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Alejandro Soto. 2016-08-09. Nagata's compactification theorem for normal toric varieties over a valuation ring of rank one. https://arxiv.org/abs/1608.02815

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