A pedagogical survey of tropical geometry covering tropical arithmetic, tropical varieties, duality, Bézout's theorem, and tropicalization, with no new research results.
Lifting tropical self intersections
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abstract
We study the tropicalization of intersections of plane curves, under the assumption that they have the same tropicalization. We show that the set of tropical divisors that arise in this manner is a pure dimensional balanced polyhedral complex and compute its dimension. When the genus is at most 1, we show that all the tropical divisors that move in the expected dimension are realizable. As part of the proof, we introduce a combinatorial tool for explicitly constructing large families of realizable tropical divisors.
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math.AG 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Tropical geometry
A pedagogical survey of tropical geometry covering tropical arithmetic, tropical varieties, duality, Bézout's theorem, and tropicalization, with no new research results.