Mihai Păun

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20112026

most citedConic singularities metrics with prescribed Ricci curvature: the case of general cone angles along normal crossing divisors

27 citations · 33 across the 7 of their papers we have counts for

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math.CV2026

Psh variation of singular Kähler-Einstein metrics and Invariance of plurigenera for smooth Kähler families

Yinji Li, Mihai Păun, Zhiwei Wang +1

Let $p : X \to Δ$ be a proper holomorphic submersion whose total space $X$ is a Kähler manifold. We prove that $dim_{C} H^{0} (X_{t}, m K_{X_{t}})$ is independent of $t$ for eve…

math.CV2021

Curvature formula for direct images of twisted relative canonical bundles endowed with a singular metric

Junyan Cao, Henri Guenancia, Mihai Păun

In this note, we obtain various formulas for the curvature of the $L^{2}$ metric on the direct image of the relative canonical bundle twisted by a holomorphic line bundle endowed wit…

math.CV2011

Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields

Frédéric Campana, Henri Guenancia, Mihai Păun

We prove the existence of non-positively curved Kähler-Einstein metrics with cone singularities along a given simple normal crossing divisor on a compact Kähler manifold, under a t…