<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Hodge modules and singular hermitian metrics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 29 Dec 2022Embargo end date: 01 Jan 2020Publisher:Springer Science and Business Media LLCJournal:Mathematische Zeitschrift, volume 303 (issn: 0025-5874, eissn: 1432-1823,

Authors: Schnell, Christian; Yang, Ruijie;

doi: 10.1007/s00209-022-03165-7 , 10.48550/arxiv.2003.09064

arXiv: http://arxiv.org/abs/2003.09064

Hodge modules and singular hermitian metrics

- Summary
- Subjects
- Metrics

Abstract

The purpose of this paper is to study certain notions of metric positivity for the lowest nonzero piece in the Hodge filtration of a Hodge module. We show that the Hodge metric satisfies the minimal extension property. In particular, this singular Hermitian metric has semi-positive curvature.

v2: 17 pages, final version, to appear in Math Z

Related Organizations

Stony Brook University
United States

Keywords

Mathematics - Algebraic Geometry, Mathematics - Complex Variables, FOS: Mathematics, Complex Variables (math.CV), Algebraic Geometry (math.AG)

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	4
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Top 10%

Average

Green

Fields of Science (3) View all

Fields of Science