Work

Kollár’s Package for Polystable Locally Abelian Parabolic Higgs Bundles

Year: 2026

Type: article

Abstract: We generalize Kollár’s package (including torsion-freeness, injectivity theorem, vanishing theorem and decomposition theorem) to polystable locally abelian parabolic Higgs bundles twisted by a multiplier ideal sheaf associated with an \mathbb{R} -divisor. This gives a uniform treatment for various kinds of Kollár’s package in different topics in complex geometry. As applications, the weak positivity (in the sense of Viehweg) and the generic vanishing property for higher direct image sheaves are deduced.

Source: Publications of the Research Institute for Mathematical Sciences

DOI: 10.4171/prims/62-4-3

Authors: Junchao Shentu, Chen Zhao

Institution: University of Science and Technology of China

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Natural Science Foundation of China

Awards: G1919937022, G7197553430, G8834635852