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Tropical tangents for complete intersection curves
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dc.contributor.author | Ilten, Nathan | |
dc.contributor.author | Len, Yoav | |
dc.date.accessioned | 2022-12-20T17:30:05Z | |
dc.date.available | 2022-12-20T17:30:05Z | |
dc.date.issued | 2023-03-01 | |
dc.identifier | 282445158 | |
dc.identifier | 16015f22-8b09-4951-8a83-759ec4fa7697 | |
dc.identifier | 85145891338 | |
dc.identifier | 000877490900001 | |
dc.identifier.citation | Ilten , 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/3782 | en |
dc.identifier.issn | 0025-5718 | |
dc.identifier.other | ORCID: /0000-0002-4997-6659/work/124489931 | |
dc.identifier.uri | https://hdl.handle.net/10023/26633 | |
dc.description | Funding: The first author was partially supported by NSERC. | en |
dc.description.abstract | We 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.extent | 49 | |
dc.format.extent | 806286 | |
dc.language.iso | eng | |
dc.relation.ispartof | Mathematics of Computation | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | NCAD | en |
dc.subject | MCC | en |
dc.subject.lcc | QA | en |
dc.title | Tropical tangents for complete intersection curves | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | 10.1090/mcom/3782 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | https://arxiv.org/abs/2104.15059 | en |
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