Hodge theory for twisted log-differential forms

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Junyan Cao
DOI: 10.48550/arxiv.2602.14826
Cited by: 0

Abstract

In this survey, we review recent developments in extending Hodge theory to differential forms with values in bundles equipped with singular metrics, based on joint work with Ya Deng, Christopher D. Hacon, and Mihai Păun.

Fields of Study & Subjects

Geometry and complex manifolds Algebraic Geometry and Number Theory Advanced Algebra and Geometry

Publication details

Journal / source
arXiv (Cornell University)
Publication date
16 February 2026
Language
EN
Document type
Preprint