X. Ye

activity

20072023

most citedMixed Hodge complexes and L^2-cohomology for local systems on ball quotients

2 citations · 3 across the 9 of their papers we have counts for

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Showing 2007Show all

3 papers · 1 filter

math.AG2007★ 2 cited

Mixed Hodge complexes and L^2-cohomology for local systems on ball quotients

S. Müller-Stach, X. Ye, K. Zuo

We study the $L^{2}$ --cohomology of certain local systems on non-compact arithmetic ball quotients $X=Γ\backslash \B_n$, in particular vanishing and non--vanishing results. We also g…

math.AG2007★ 1 cited

The Jumping Phenomenon of the Dimensions of Cohomology Groups of Tangent Sheaf

Xuanming Ye

Let $X$ be a compact complex manifold, consider a small deformation $ϕ : X \to B$ of $X$ , the dimensions of the cohomology groups of tangent sheaf $H^q(X_t,\mathcal{T}_{X_…

math.AG2007

The Jumping Phenomenon of Hodge Numbers

Xuanming Ye

Let $X$ be a compact complex manifold, consider a small deformation $ϕ : X \to B$ of $X$ , the dimension of the Dolbeault cohomology groups $H^{q} (X_{t}, Ω_{X_{t}}^{p})$ may vary un…