Some results on tropical compactifications
Mark Luxton, Zhenhua Qu · Transactions of the American Mathematical Society · 2011
In this paper, we establish some further results on tropical compactifications. We give an affirmative answer to a conjecture of Tevelev in characteristic 0: 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. As an application, we show that the moduli space of six points of $\mathbb {P}^2$ in linear general position is Hübsch. Using toric schemes over a discrete valuation ring, we extend tropical compactifications to the nonconstant coefficient case.