Lifting tropical self intersections
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.
Citation
Len , Y & Satriano , M 2020 , ' Lifting tropical self intersections ' , Journal of Combinatorial Theory, Series A , vol. 170 , 105138 . https://doi.org/10.1016/j.jcta.2019.105138
Publication
Journal of Combinatorial Theory, Series A
Status
Peer reviewed
ISSN
0097-3165Type
Journal article
Collections
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