SOME RESULTS ON TROPICAL COMPACTIFICATIONS

作者:Luxton Mark*; Qu Zhenhua
来源:Transactions of the American Mathematical Society, 2011, 363(9): 4853-4876.
DOI:10.1090/S0002-9947-2011-05254-2

摘要

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 Schon very affine open subvariety. Also we show that any fan supported on the tropicalization of a Schon very affine variety produces a Schon compactification. As an application, we show that the moduli space of six points of P(2) in linear general position is Hubsch. Using toric schemes over a discrete valuation ring, we extend tropical compactifications to the nonconstant coefficient case.

  • 出版日期2011-9