TL;DR
This paper develops a trace morphism for Du Bois complexes to study local cohomological dimensions and Hodge theoretic properties of singularities under finite morphisms.
Contribution
It introduces a new trace morphism for Du Bois complexes, enabling analysis of singularities' cohomological and Hodge-theoretic behavior under finite maps.
Findings
Established a trace morphism for Du Bois complexes.
Analyzed the impact on local cohomological dimension.
Explored Hodge theoretic aspects of singularities.
Abstract
We construct some version of the trace morphism between the Du Bois complexes, with applications towards the behavior of the local cohomological dimension and some Hodge theoretic aspects of singularities under finite morphisms.
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Taxonomy
TopicsContemporary Sociological Theory and Practice · Pragmatism in Philosophy and Education · Philosophy, Science, and History