On Tropical Compactifications

  title={On Tropical Compactifications},
  author={Qu Zhenhua},
We give an affirmative answer to a conjecture proposed by Tevelev [16] 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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