5 problems

Let ${\cal S}$ denote the category constructed in the paper from the elliptic spherical double affine Hecke algebra, and let $X_m$ be the corresponding surface. Flat-deformation co…

Stabilization conjecture. This union stabilizes for sufficiently large $k$ and is therefore coherent; moreover, the smallest stabilizing $k$ is a linear function of $v$, so the res…

Torsion-fiber integrability conjecture. This fiber has $n+1$ global sections, all of which commute. The preceding proposition supplies a global section with dominant weight…

Let the parameters and divisor class be as in the preceding proposition, so that $v=ds+d'f-r_1e_1-\cdots-r_me_m$ satisfies $d'\ge d\ge r_1+r_2$, $r_1\ge r_2\ge\cdots\ge r_m\ge0$, a…

Let ${\rm H}_{\widetilde W;\vec{T};\gamma}(X)$ be the elliptic double affine Hecke algebra in the paper's notation, and let $Z({\rm H}_{\widetilde W;\vec{T};\gamma}(X))$ denote its…