研究開始時の研究の概要 |
The tropicalization of a variety is a polyhedral shadow that contains a large amount of arithmetic information on the algebraic variety. This is especially true when the tropicalization is smooth, in the sense that there are no singularities. In practice however, many tropicalizations are not sufficiently smooth. In this project, we will investigate the possibility of transforming a tropical variety into a smooth one, with an eye towards applications in number theory.
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