On Tropical Compactifications

Details On Tropical Compactifications On Tropical Compactifications

2009-02-12

arxiv.org/abs/0902.2009v2

Mathematics

Algebraic Geometry

19 pages, comments are welcome

Scientific paper

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

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