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arXiv · 0902.2009

On Tropical Compactifications

Mark Luxton·Zhenhua Qu
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Abstract

We give an affirmative answer to a conjecture proposed by Tevelev in characteristic 0 case: any variety contains a schön very affine open subvariety. Also we show that any fan supported on the tropicalization of a schön very affine variety produces a schön compactification. Using toric schemes over a discrete valuation ring, we extend tropical compatifications to the non-constant coefficient case.

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Mark Luxton, Zhenhua Qu. 2009-02-12. On Tropical Compactifications. https://arxiv.org/abs/0902.2009

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