Abstract
AbstractWe show that the tropicalization of an irreducible d-dimensional variety over a field of characteristic 0 is $$(d-\ell )$$
(
d
-
ℓ
)
-connected through codimension one, where $$\ell $$
ℓ
is the dimension of the lineality space of the tropicalization. From this we obtain a higher connectivity result for skeleta of rational polytopes. We also prove a tropical analogue of the Bertini Theorem: the intersection of the tropicalization of an irreducible variety with a generic hyperplane is again the tropicalization of an irreducible variety.
Funder
National Science Foundation
Engineering and Physical Sciences Research Council
Publisher
Springer Science and Business Media LLC
Cited by
1 articles.
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