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dc.contributor.authorLen, Yoav
dc.contributor.authorSatriano, Matt
dc.identifier.citationLen , Y & Satriano , M 2020 , ' Lifting tropical self intersections ' , Journal of Combinatorial Theory, Series A , vol. 170 , 105138 .
dc.identifier.otherPURE: 268424802
dc.identifier.otherPURE UUID: 089b348b-477a-46e7-9c84-bf0a5b7f1a57
dc.identifier.otherScopus: 85072804660
dc.identifier.otherORCID: /0000-0002-4997-6659/work/75610600
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.relation.ispartofJournal of Combinatorial Theory, Series Aen
dc.rightsCopyright © 2019 Elsevier Inc. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at
dc.subjectTropical geometryen
dc.subjectIntersection theoryen
dc.subjectDivisor theoryen
dc.subjectPolyhedral complexesen
dc.subjectElliptic curvesen
dc.subjectQA Mathematicsen
dc.titleLifting tropical self intersectionsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.description.statusPeer revieweden

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