The Generalized Sylvester's And Orchard Problems Via Discriminantal arrangement

Pragnya Das, Elisa Palezzato, Simona Settepanella

In 1989 Manin and Schechtman defined the discriminantal arrangement $\mathcal{B}(n,k,\mathcal{A})$ associated to a generic arrangement $\mathcal{A}$ of $n$ hyperplanes in a $k$-di…