Yupeng Wang

collaborators

3 papers

math.AG2025

Prismatic crystals for smooth schemes in characteristic $p$ with Frobenius lifting mod $p^{2}$

Yupeng Wang

Let $(A, (p))$ be a crystalline prism with $A_{n} = A / p^{n + 1} A$ for all $n \geq 0$ . Let $\frakX_0$ be a smooth scheme over $A_{0}$ . Suppose that $\frakX_0$ admits a lifting $\frakX_n$ ov…

math.AG2025

A stacky $p$ -adic Riemann--Hilbert correspondence on Hitchin-small locus

Yudong Liu, Chenglong Ma, Xiecheng Nie +2

Let $C$ be an algebraically closed perfectoid field over $Q_{p}$ with the ring of integer $O_{C}$ and the infinitesimal thickening $\Ainf$. Let $X$ be a se…

math.AG2024

The small $p$ -adic Simpson correspondence in the semi-stable reduction case

Mao Sheng, Yupeng Wang

We generalize several known results on small Simpson correspondence for smooth formal schemes over $\calO_C$ to the case for semi-stable formal schemes. More precisely, for a lifta…

Prismatic crystals for smooth schemes in characteristic p with Frobenius lifting mod p2

A stacky p-adic Riemann--Hilbert correspondence on Hitchin-small locus

The small p-adic Simpson correspondence in the semi-stable reduction case

Prismatic crystals for smooth schemes in characteristic $p$ with Frobenius lifting mod $p^{2}$

A stacky $p$ -adic Riemann--Hilbert correspondence on Hitchin-small locus

The small $p$ -adic Simpson correspondence in the semi-stable reduction case