Hodge theory on Alexander invariants -- a survey
Eva Elduque, Christian Geske, Mois\'es Herrad\'on Cueto, Lauren\c{t}iu, Maxim, Botong Wang
TL;DR
This survey reviews recent advances in understanding the Hodge theoretic properties of Alexander invariants linked to smooth complex algebraic varieties, highlighting new theoretical insights.
Contribution
It compiles and discusses recent progress in applying Hodge theory to Alexander invariants, emphasizing developments in algebraic geometry.
Findings
Enhanced understanding of Hodge structures on Alexander invariants
Connections between Hodge theory and algebraic topology of complex varieties
Identification of new invariants and their properties
Abstract
We survey recent developments in the study of Hodge theoretic aspects of Alexander-type invariants associated with smooth complex algebraic varieties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds