Show simple item record

Files in this item

Thumbnail

Item metadata

dc.contributor.authorIlten, Nathan
dc.contributor.authorLen, Yoav
dc.date.accessioned2022-12-20T17:30:05Z
dc.date.available2022-12-20T17:30:05Z
dc.date.issued2023-03-01
dc.identifier.citationIlten , N & Len , Y 2023 , ' Tropical tangents for complete intersection curves ' , Mathematics of Computation , vol. 92 , no. 340 , pp. 931-979 . https://doi.org/10.1090/mcom/3782en
dc.identifier.issn0025-5718
dc.identifier.otherPURE: 282445158
dc.identifier.otherPURE UUID: 16015f22-8b09-4951-8a83-759ec4fa7697
dc.identifier.otherORCID: /0000-0002-4997-6659/work/124489931
dc.identifier.otherScopus: 85145891338
dc.identifier.otherWOS: 000877490900001
dc.identifier.urihttps://hdl.handle.net/10023/26633
dc.descriptionFunding: The first author was partially supported by NSERC.en
dc.description.abstractWe consider the tropicalization of tangent lines to a complete intersection curve X in ℙn. Under mild hypotheses, we describe a procedure for computing the tropicalization of the image of the Gauss map of X in terms of the tropicalizations of the hypersurfaces cutting out X. We apply this to obtain descriptions of the tropicalization of the dual variety X∗ and tangential variety τ(X) of X. In particular, we are able to compute the degrees of X∗and τ(X) and the Newton polytope of τ(X) without using any elimination theory.
dc.format.extent49
dc.language.isoeng
dc.relation.ispartofMathematics of Computationen
dc.rightsCopyright © The Author(s) 2022. 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/10.1090/mcom/3782.en
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subjectNCADen
dc.subjectMCCen
dc.subject.lccQAen
dc.titleTropical tangents for complete intersection curvesen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.identifier.doihttps://doi.org/10.1090/mcom/3782
dc.description.statusPeer revieweden
dc.identifier.urlhttps://arxiv.org/abs/2104.15059en


This item appears in the following Collection(s)

Show simple item record