Show simple item record

Files in this item

Thumbnail
Name:
Lifting_tropical_self_intersections.pdf
Size:
358.4Kb
Format:
PDF
View/Open

Lifting tropical self intersections

Item metadata

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.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.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.identifier.urihttp://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.language.isoeng
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 https://doi.org/10.1016/j.jcta.2019.105138en
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.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1016/j.jcta.2019.105138
dc.description.statusPeer revieweden
dc.date.embargoedUntil2020-10-04


This item appears in the following Collection(s)

Show simple item record

Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.