3 problems

Let $\mathbf{Q}$ be a quadratic manifold, and let “well-curved” and “best Stein–Tomas” denote the geometric and Fourier-analytic conditions defined in the paper. Best Stein–Tomas c…

Let $fbf{Q}(fxi)=(Q_1(fxi),\ldots,Q_n(fxi))$ be an $n$-tuple of real quadratic forms in $d$ variables, and let … For a rectangle $B\subset[0,1]^d$, call $f$ adapted to $B$ if…

Let $X\subset {\mathbb P}^N$ be a quadratic manifold of dimension $n$. Small-degree complete-intersection conjecture. If … then $X$ is a complete intersection, unless it is project…