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math.AG2021
Partial Okounkov bodies and Duistermaat--Heckman measures of non-Archimedean metrics
Mingchen Xia
Let be a smooth projective variety. We construct partial Okounkov bodies associated to Hermitian pseudo-effective line bundles on . We show that partial Okounkov bod…
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…