Mathematics > Combinatorics
arXiv:2606.24339 (math)
[Submitted on 23 Jun 2026]
Abstract:By bridging two classification results -- the Esterov--Gusev classification of tuples of lattice polytopes of mixed volume one, and Fink's characterization of Bergman fans -- we formulate a classification conjecture describing when the stable intersection of a tropical fan F with the tropicalization Trop(X) of a subvariety of T^n is a reduced point. Our main results establish this conjecture in three fundamental cases -- unmixed sequences, hypersurface complete-intersection cycles, and tropical 2-cycles -- and develop several tools intended for the general case.
Submission history
From: Linxuan Li [view email]
[v1]
Tue, 23 Jun 2026 09:25:12 UTC (31 KB)
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