Ruofan Jiang

activity

20222026

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3 papers · 1 filter

math.NT2026

S-integrality for families of ordinary K3 surfaces and algebraicity theorems

Ruofan Jiang, Ananth N. Shankar

We prove an $S$ -integrality theorem for special divisors on GSpin Shimura varieties in positive characteristic. Let $C$ be a generically ordinary curve in such a Shimura variety no…

math.AG2026

Quot scheme of points on torus knot singularities

Yifeng Huang, Ruofan Jiang, Alexei Oblomkov

For $g cd (a, b) = 1$ , we show that the moduli space of $m$ -codimensional $k [[T^{a}, T^{b}]]$ -submodules of $k [[T]]^{n}$ is paved by affine cells, by proving that each Białyni…

math.AG2026

Picard rank jumps for families of K3 surfaces in positive characteristic

Ruofan Jiang, Ananth N. Shankar, Ziquan Yang

Let X/C be a non iso-trivial family of K3 surfaces over a curve C defined over characteristic p > 2 field. We show that if X avoids a necessary and structural obstruction coming fr…