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Local tropicalization D. A. Stepanov N. E. Bauman Moscow State Technical University |
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Abstract: Tropicalization enables one to relate a subvariety of algebraic torus with some partially linear complex in real affine space. This complex represents a valuation space of a coordinate ring of a variety. We describe a local generalization of the tropicalization that enables one to construct a partially linear complex from an ideal in a local ring, say, in a ring of formal series.
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