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20212026
most citedA p-adic Simpson correspondence for rigid analytic varieties

9 citations · 17 across the 10 of their papers we have counts for

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6 papers · 1 filter

math.AG2026

A -adic Riemann--Hilbert correspondence over Robba rings

Zekun Chen, Ruochuan Liu, Yupeng Wang +2

We construct overconvergent period sheaves and on the -site of a liftable semi-…

math.AG2023★ 1 cited

Integral -adic non-abelian Hodge theory for small representations

Yu Min, Yupeng Wang

Let $\frakX$ be a smooth -adic formal scheme over $\calO_C$ with rigid generic fiber . In this paper, we construct a new period sheaf $\calO\widehat \bC_{\pd}^+$ on $X_{\proe…

math.AG2022★ 1 cited

Hodge--Tate crystals on the logarithmic prismatic sites of semi-stable formal schemes

Yu Min, Yupeng Wang

Let $\calO_K$ be a complete discrete valuation ring of mixed characteristic with a perfect residue field. In this paper, for a semi-stable -adic formal scheme $\frakX$ o…

math.AG2022★ 2 cited

P-adic Simpson correpondence via prismatic crystals

Yu Min, Yupeng Wang

Let $\frakX$ be a smooth -adic formal scheme over $\calO_K$ with adic generic fiber . We obtain a global equivalence between the category $\Vect((\frakX)_{\Prism},\overline\c…

math.AG2021

Relative -modules and prismatic -crystals

Yu Min, Yupeng Wang

In this paper, we prove that for any -adic smooth separated formal scheme , the category of prismatic -crystals with inverted is equivalent to the category o…

math.AG2021★ 9 cited

A p-adic Simpson correspondence for rigid analytic varieties

Yupeng Wang

In this paper, we establish a -adic Simpson correspondence on the arena of Liu-Zhu for rigid analytic varieties over $\Cp$ with a liftable good reduction by constructing a n…