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39:, 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
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of the original torus. The concept of a tropical compactification arises when trying to make compactifications as "nice" as possible. For a torus
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189:{\displaystyle \Phi :T\times {\bar {X}}\to \mathbb {P} ,\ (t,x)\to tx}
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Brugallé, Erwan; Shaw, Kristin (2014). "A Bit of
Tropical Geometry".
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Hannah
Markwig, Aaron Bertram, and Renzo Cavalieri, 2012 at the
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413:{\displaystyle \mathbb {P} ^{1}}
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78:{\displaystyle \mathbb {P} }
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225:{\displaystyle {\bar {X}}}
107:{\displaystyle {\bar {X}}}
114:is tropical when the map
25:tropical compactification
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27:is a compactification (
470:-related article is a
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63:and a toric variety
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56:{\displaystyle T}
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263:References
33:subvariety
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