14 citations · 47 across the 6 of their papers we have counts for
6 papers
Chern forms of hermitian metrics with analytic singularities on vector bundles
Richard Lärkäng, Hossein Raufi, Martin Sera +1
We define Chern and Segre forms, or rather currents, associated with a Griffiths positive singular hermitian metric with analytic singularities on a holomorphic vector bundle $…
Chern forms of singular metrics on vector bundles
Richard Lärkäng, Hossein Raufi, Jean Ruppenthal +1
We study singular hermitian metrics on holomorphic vector bundles, following Berndtsson-P{ă}un. Previous work by Raufi has shown that for such metrics, it is in general not possibl…
An extension theorem of Ohsawa-Takegoshi type for sections of a vector bundle
Hossein Raufi
Using -methods for the -equation we prove that the Ohsawa-Takegoshi extension theorem also holds for holomorphic sections of a vector bundle, over compact Kähler…
Log concavity for matrix-valued functions and a matrix-valued Prékopa theorem
Hossein Raufi
We give two different definitions of what it means for a matrix-valued function to be log concave, guided by similar notions in complex differential geometry. After discussing a fe…
The Nakano vanishing theorem and a vanishing theorem of Demailly-Nadel type for holomorphic vector bundles
Hossein Raufi
We prove the classical Nakano vanishing theorem with Hörmander -estimates on a compact Kähler manifold using Siu's so called $\partial\dbar$-Bochner-Kodaira method, thereby av…
Singular hermitian metrics on holomorphic vector bundles
Hossein Raufi
We introduce and study a notion of singular hermitian metrics on holomorphic vector bundles, following Berndtsson and P{ă}un. We define what it means for such a metric to be curved…