Mingchen Xia

activity

20172026

most citedIntegration by parts formula for non-pluripolar product

14 citations · 41 across the 16 of their papers we have counts for

collaborators

Showing 2021Show all

4 papers · 1 filter

math.AG2021

Partial Okounkov bodies and Duistermaat--Heckman measures of non-Archimedean metrics

Mingchen Xia

Let $X$ be a smooth projective variety. We construct partial Okounkov bodies associated to Hermitian pseudo-effective line bundles $(L, ϕ)$ on $X$ . We show that partial Okounkov bod…

math.DG2021★ 3 cited

The volume of pseudoeffective line bundles and partial equilibrium

Tamás Darvas, Mingchen Xia

Let $(L, h e^{- u})$ be a pseudoeffective line bundle on an $n$ -dimensional compact Kähler manifold $X$ . Let $h^{0} (X, L^{k} \otimes I (k u))$ be the dimension of the space of sectio…

math.AG2021

Analytic Bertini theorem

Mingchen Xia

We prove an analytic Bertini theorem, generalizing a previous result of Fujino and Matsumura.

math.AG2021

On Liu morphisms in non-Archimedean geometry

Mingchen Xia

We define Liu morphisms and quasi-Liu morphisms between Berkovich analytic spaces. We show that Liu morphisms and quasi-Liu morphisms behave exactly as affine morphisms and quasi-a…