Quillen metrics and branched coverings
Xiaonan Ma (IMJ-PRG)
TL;DR
This paper presents a formula to compare Quillen metrics on holomorphic line bundles in the context of branched coverings, advancing understanding of their geometric and analytic properties.
Contribution
It introduces a new formula for comparing Quillen metrics in branched covering scenarios, providing a novel analytical tool.
Findings
Derived a formula relating Quillen metrics in branched coverings
Enhanced understanding of metric comparisons in complex geometry
Potential applications in algebraic and differential geometry
Abstract
We give a formula to compare the Quillen metrics associated to a branched covering from holomorphic line bundles.
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