Sandra Di Rocco

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math.AG2024

Conditional Euclidean distance optimization via relative tangency

Sandra Di Rocco, Lukas Gustafsson, Luca Sodomaco

We introduce a theory of relative tangency for projective algebraic varieties. The dual variety $X_{Z}^{\lor}$ of a variety $X$ relative to a subvariety $Z$ is the set of hyperplanes t…

math.AG2024

Interpolation of toric varieties

Alicia Dickenstein, Sandra Di Rocco, Ragni Piene

Let $X \subset P^{d}$ be a $m$ -dimensional variety in $d$ -dimensional projective space. Let $k$ be a positive integer such that $(k m + k) \leq d$ . Consider the following in…