3 problems

Let $\sigma \\: \Gamma \to 2^V$ be a vertex-induced triangulation of a simplex, and let $k$ be a field of characteristic $0$. A generic special linear system of parameters is the s…

Let $\sigma \\: \Gamma \to 2^V$ be a vertex-induced triangulation of a $(d-1)$-dimensional simplex, and let $k$ be a field. Generation conjecture. The local face module $L(\Gamma)$…

Let $\sigma \\: \Gamma \to 2^V$ be a vertex-induced triangulation of a $(d-1)$-dimensional simplex, and let $k$ be a field. Let $B$ be the symmetric bilinear form on the local face…