3 problems

Holonomic rank conjecture. The solution rank of $\tau$ at the point $a\in V^\vee$ is given by

Let $X=G/P$ be a homogeneous variety, let $E=L_1\oplus\cdots\oplus L_r$ be a direct sum of homogeneous line bundles, and let $Y_i$ be the zero locus of the $L_i$-component of a sec…

Let $X$ be a projective homogeneous variety, let $V=\Gamma(X,\omega_X^{-1})^*$, and consider the moduli space of Calabi–Yau hypersurfaces in $X$. At certain degenerate points, the…