2 problems

Let $\mathbb P^n$ be projective $n$-space, and let $\mathbb{S}(\ell_1,\ldots,\ell_r)$ and $\mathbb{S}(m_1,\ldots,m_s)$ denote contact star configurations formed from distinct hyper…

Let $s\le 4$ and let $m_i$ be the multiplicities of $s$ general fat points. For each $i$, take a contact star configuration formed by $m_i+1$ lines tangent to the same conic. The c…