2021/04/30 by Nathan Ilten, Yoav Len, Ilten, Nathan +1
Computer Science · #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics #Polynomial and algebraic computation
paper · doi:10.48550/arxiv.2104.15059
openalex publication_date 2021/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.