Tropical tangents for complete intersection curves
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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.
Ilten , N & Len , Y 2022 , ' Tropical tangents for complete intersection curves ' , Mathematics of Computation , vol. Early View . https://doi.org/10.1090/mcom/3782
Mathematics of Computation
Copyright © 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.
DescriptionFunding: The first author was partially supported by NSERC.
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