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arXiv · 1806.01334

Lifting tropical self intersections

Yoav Len·Matthew Satriano
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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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Yoav Len, Matthew Satriano. 2018-06-04. Lifting tropical self intersections. https://arxiv.org/abs/1806.01334

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