Tropical tangents for complete intersection curves
Date
01/03/2023Metadata
Show full item recordAbstract
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.
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
Publication
Mathematics of Computation
Status
Peer reviewed
ISSN
0025-5718Type
Journal article
Description
Funding: The first author was partially supported by NSERC.Collections
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