Fibers of tropicalization

Details Fibers of tropicalization Fibers of tropicalization

2007-05-14

arxiv.org/abs/0705.1732v2

Math. Z. 262 (2009), no. 2, 301--311.

Mathematics

Algebraic Geometry

11 pages. v2: added footnote explaining gap in earlier proofs of surjectivity of tropicalization, other minor changes. To appe

Scientific paper

We use functoriality of tropicalization and the geometry of projections of
subvarieties of tori to show that the fibers of the tropicalization map are
dense in the Zariski topology. For subvarieties of tori over fields of
generalized power series, points in each tropical fiber are obtained
"constructively" using Kedlaya's transfinite version of Newton's method.

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