Abstract
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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An erratum to this article can be found online at http://dx.doi.org/10.1007/s00209-012-1080-2.
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Payne, S. Fibers of tropicalization. Math. Z. 262, 301–311 (2009). https://doi.org/10.1007/s00209-008-0374-x
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DOI: https://doi.org/10.1007/s00209-008-0374-x