Toric schemes over a discrete valuation ring and tropical compactifications
Zhenhua Qu · Texas ScholarWorks (Texas Digital Library) · 2009
Let Y be a subvariety of an algebraic torus, Tevelv [24] defined and studied tropical compactifications as certain nice compactifications of Y .We give a criterion for certain compactification to be a schön compactification, and as a corollary, we show that any variety contains an open very affine schön variety.Using toric schemes defined over a discrete valuation ring, we generalize the theory of tropical compactification to the nonconstant coefficient case, i.e. for varieties defined over a discrete valuation ring.v