The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
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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 Alexander modules of a smooth connected complex algebraic variety.
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1. Introduction2. Preliminaries3. Thickened complexes4. Thickened complexes and mixed Hodge complexes5. Mixed Hodge structures on Alexander modules6. The geometric map is a morphism of MHS7. The geometric map is an MHS morphism: Consequences8. Semisimplicity for proper maps9. Relation to the limit MHS10. Examples and open questions
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Produktdetaljer

ISBN
9781470469672
Publisert
2024-06-30
Utgiver
Vendor
American Mathematical Society
Vekt
272 gr
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
114

Biographical note

Eva Elduque, University of Michigan, Ann Arbor, Michigan, and Universidad Autonoma de Madrid, Spain, Christian Geske, Northwestern University, Evanston, Illinois, Moises Herradon Cueto, Louisiana State University, Baton Rouge, Louisiana, Laurentiu G. Maxim, University of Wisconsin, Madison, Wisconsin, and Botong Wang, University of Wisconsin, Madison, Wisconsin.