L. Chiantini

collaborators

3 papers

math.AG2025

Combinatorics of skew lines in $P^{3}$ with an application to algebraic geometry

Luca Chiantini, Åucja Farnik, Giuseppe Favacchio +4

This article introduces a previously unrecognized combinatorial structure underlying configurations of skew lines in $P^{3}$ , and reveals its deep and surprising connection…

math.AG2024

Decompositions and Terracini loci of cubic forms of low rank

Luca Chiantini, Fulvio Gesmundo

We study Waring rank decompositions for cubic forms of rank $n + 2$ in $n + 1$ variables. In this setting, we prove that if a concise form has more than one non-redundant decomposition…

math.AG2024

On the classification of certain geproci sets

Luca Chiantini, Lucja Farnik, Giuseppe Favacchio +4

In this short note we develop new methods toward the ultimate goal of classifying geproci sets in $P^{3}$ . We apply these methods to show that among sets of $16$ points distr…

Combinatorics of skew lines in P3 with an application to algebraic geometry

Decompositions and Terracini loci of cubic forms of low rank

On the classification of certain geproci sets

Combinatorics of skew lines in $P^{3}$ with an application to algebraic geometry