Genki Hosono

activity

20152019

most citedOn projective manifolds with pseudo-effective tangent bundle

21 citations · 30 across the 9 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.CV2019★ 1 cited

A simplified proof of optimal $L^{2}$ -extension theorem and extensions from non-reduced subvarieties

Genki Hosono

We give a simplified proof of an optimal version of the Ohsawa-Takegoshi $L^{2}$ -extension theorem. We follow the variational proof by Berndtsson-Lempert and use the method in the pa…

math.AG2019★ 21 cited

On projective manifolds with pseudo-effective tangent bundle

Genki Hosono, Masataka Iwai, Shin-ichi Matsumura

In this paper, we develop the theory of singular hermitian metrics on vector bundles. As an application, we give a structure theorem of a projective manifold $X$ with pseudo-effect…

math.CV2019★ 3 cited

A converse of Hörmander's $L^{2}$ -estimate and new positivity notions for vector bundles

Genki Hosono, Takahiro Inayama

We study conditions of Hörmander's $L^{2}$ -estimate and the Ohsawa-Takegoshi extension theorem. Introducing a twisted version of Hörmander-type condition, we show a converse of Hörma…

A simplified proof of optimal L2-extension theorem and extensions from non-reduced subvarieties

On projective manifolds with pseudo-effective tangent bundle

A converse of Hörmander's L2-estimate and new positivity notions for vector bundles

A simplified proof of optimal $L^{2}$ -extension theorem and extensions from non-reduced subvarieties

A converse of Hörmander's $L^{2}$ -estimate and new positivity notions for vector bundles