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5 papers
Hodge theory on Alexander invariants -- a survey
Eva Elduque, Christian Geske, Moisés Herradón Cueto +2
We survey recent developments in the study of Hodge theoretic aspects of Alexander-type invariants associated with smooth complex algebraic varieties.
Mixed Hodge Structures on Alexander Modules
Eva Elduque, Christian Geske, Moisés Herradón Cueto +2
Motivated by the limit mixed Hodge structure on the Milnor fiber of a hypersurface singularity germ, we construct a natural mixed Hodge structure on the torsion part of the Alexand…
Signatures of topological branched covers
Christian Geske, Alexandra Kjuchukova, Julius L. Shaneson
Let and be smooth manifolds and a branched cover with branching set . Classically, if is smoothly embedded in , the signature can be comput…
Algebraic Intersection Spaces
Christian Geske
We define a variant of intersection space theory that applies to many compact complex and real analytic spaces , including all complex projective varieties; this is a significan…
On the signed Euler characteristic property for subvarieties of abelian varieties
Eva Elduque, Christian Geske, Laurentiu Maxim
We give an elementary proof of the fact that a pure-dimensional closed subvariety of a complex abelian variety has a signed intersection homology Euler characteristic. We also show…