2 problems

Let $\rK$ be the base field, let $d\in\N$, and let $\cF$ be an $\rsg{d}$ configuration. Write $\Kspan{\cF}$ for its $\rK$-linear span. Strong radical Sylvester–Gallai conjecture. T…

Let $\rK$ be the base field. For $d\in\N$, an $\rsg{d}$ configuration is a configuration $\cF$ of polynomials as defined in the cited formulation of Gupta's conjecture; its transce…