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Nov 16, 2011 at 20:37 comment added Nikita Kalinin there are similar questions mathoverflow.net/questions/53306/… mathoverflow.net/questions/35553/… and by tag tropical geometry as well =)
May 11, 2011 at 2:41 history edited Santiago CC BY-SA 3.0
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Mar 22, 2011 at 15:06 comment added Abdelmalek Abdesselam Also of interest is the converse. What can one learn in ordinary algebraic geometry from its tropical analogue?
Mar 22, 2011 at 12:33 history edited Santiago CC BY-SA 2.5
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Mar 21, 2011 at 7:53 comment added S. Carnahan It is difficult to understand what would be a satisfactory answer, given the presentation of your question. Do you want a property $P$ that may be satisfied by an algebraic variety, and a corresponding property $P'$ that may be satisfied by a tropical variety, such that if $(X,X')$ is a pair given by an algebraic variety and a tropicalization, then $X$ satisfies $P$ if and only if $X'$ satisfies $P'$? Also, your notation for Puiseaux series looks remarkably similar to the usual notation for Laurent series.
Mar 20, 2011 at 17:15 history asked Santiago CC BY-SA 2.5