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Lifting tropical self intersections

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dc.contributor.authorLen, Yoav
dc.contributor.authorSatriano, Matt
dc.date.accessioned2020-10-03T23:42:00Z
dc.date.available2020-10-03T23:42:00Z
dc.date.issued2020-02
dc.identifier268424802
dc.identifier089b348b-477a-46e7-9c84-bf0a5b7f1a57
dc.identifier85072804660
dc.identifier.citationLen , Y & Satriano , M 2020 , ' Lifting tropical self intersections ' , Journal of Combinatorial Theory, Series A , vol. 170 , 105138 . https://doi.org/10.1016/j.jcta.2019.105138en
dc.identifier.issn0097-3165
dc.identifier.otherORCID: /0000-0002-4997-6659/work/75610600
dc.identifier.urihttps://hdl.handle.net/10023/20721
dc.description.abstractWe 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.
dc.format.extent21
dc.format.extent367025
dc.language.isoeng
dc.relation.ispartofJournal of Combinatorial Theory, Series Aen
dc.subjectTropical geometryen
dc.subjectIntersection theoryen
dc.subjectDivisor theoryen
dc.subjectChip-firingen
dc.subjectPolyhedral complexesen
dc.subjectElliptic curvesen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleLifting tropical self intersectionsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doi10.1016/j.jcta.2019.105138
dc.description.statusPeer revieweden
dc.date.embargoedUntil2020-10-04


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