Alexander modules, Mellin transformation and variations of mixed Hodge structures

DOI10.1016/j.aim.2022.108798zbMath1506.14018arXiv2104.09729OpenAlexW4310136333MaRDI QIDQ2105754

Botong Wang, Eva Elduque, Moisés Herradón Cueto, Laurenţiu Maxim

Publication date: 8 December 2022

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09729

zbMATH Keywords

monodromysemisimple modulesArtinian modulesperverse sheavesmixed Hodge modulesmixed Hodge structureMellin transformationAlexander modulelogarithmic connectionsglobal analysis and geometry of functionssingularities of analytic functionsunipotent variation of mixed Hodge structures

Mathematics Subject Classification ID

Sheaf cohomology in algebraic topology (55N30) Variation of Hodge structures (algebro-geometric aspects) (14D07) Homotopy theory and fundamental groups in algebraic geometry (14F35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Topological properties of mappings on manifolds (58K15) Topological properties in algebraic geometry (14F45) Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characteristic varieties of hypersurface complements
• Bernstein-Sato ideals and local systems
• Modules d'Alexander et \({\mathcal D}\)-modules. (Alexander modules and \({\mathcal D}\)-modules)
• Unipotent variations of mixed Hodge structure
• The de Rham homotopy theory of complex algebraic varieties. I
• On the homology of finite abelian coverings
• Stratifications de Whitney et théorème de Bertini-Sard
• Sheaves in topology
• The monodromy theorem for compact Kähler manifolds and smooth quasi-projective varieties
• Mellin transformation, propagation, and abelian duality spaces
• Local cohomology and base change
• \(\ell\)-adic perverse sheaves over a torus
• Aspherical manifolds, Mellin transformation and a question of Bobadilla-Kollár
• Multivariable Alexander invariants of hypersurface complements
• Iterated path integrals
• Absolute sets and the decomposition theorem
• Intersection Homology & Perverse Sheaves
• Cohomology jump loci of quasi-projective varieties
• Remarks on semi-simplicity of Alexander modules

This page was built for publication: Alexander modules, Mellin transformation and variations of mixed Hodge structures