Mathematical concept
In algebraic geometry, a tropical compactification is a compactification (projective completion) of a subvariety of an algebraic torus, introduced by Jenia Tevelev. Given an algebraic torus and a connected closed subvariety of that torus, a compactification of the subvariety is defined as a closure of it in a toric variety of the original torus. The concept of a tropical compactification arises when trying to make compactifications as "nice" as possible. For a torus formula_1 and a toric variety formula_2, the compactification formula_3 is tropical when the map
formula_4
is faithfully flat and formula_3 is proper.
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