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math.AG2012★ 1 cited
The Gröbner stratification of a tropical variety
Dustin Cartwright
Each Gröbner stratum of a tropical variety is a connected set of points, all of which induce the same initial subscheme. The Gröbner stratification is a coarsening of the decomposi…
math.AG2012★ 15 cited
Connectivity of tropicalizations
Dustin Cartwright, Sam Payne
We show that the tropicalization of an irreducible variety over a complete or algebraically closed valued field is connected through codimension 1, giving an affirmative answer in…