D. Bai

collaborators

3 papers

math.AG2026

Non-reduced components of global nilpotent cones

David Zhiyuan Bai, David Fang

We determine the non-reduced components of global nilpotent cones in various cases of interest. In particular, under the appropriate coprimality conditions, we show: (1) the global…

math.AG2026

Topology of projective Tate-Shafarevich twists

David Zhiyuan Bai

A Tate-Shafarevich twist $X^{I ¨} \to B$ of a fibration $X \to B$ modifies it by a $1$ -cocycle of flows of vector fields relative to the base, locally in the analytic topology. SaccÃ co…

math.AG2025

Hilbert schemes of elliptic surfaces: group actions and derived categories

David Zhiyuan Bai

Let $X \to C$ be an elliptic surface with integral fibers and a section. The Hilbert scheme $X^{[n]}$ fibers over $C^{[n]}$ . We construct a commutative group scheme over the entire…