3 problems

Gupta's three-set polynomial Sylvester–Gallai conjecture. There is a function $\lambda(r)$ such that

Gupta's bounded transcendence-degree conjecture. There is a function $\lambda$ such that

Let $K$ be a field of characteristic $\operatorname{ch}(K)$, and let $R_{\delta}(k,s)$ strictly upper-bound the rank of any minimal and simple $\Sigma\Pi_{\delta}\Sigma\Pi(k,s,n)$…