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Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group

Part of: Holomorphic fiber spaces Low-dimensional topology (Co)homology theory

Published online by Cambridge University Press:  19 April 2024

Luca F. Di Cerbo  and
Luigi Lombardi
Luca F. Di Cerbo
Affiliation:
Mathematics Department, University of Florida, Gainesville, FL, USA (ldicerbo@ufl.edu)
Luigi Lombardi
Affiliation:
Dipartimento di Matematica, Università degli Studi di Milano Statale, via Cesare Saldini 50, Milan 20133, Italy (luigi.lombardi@unimi.it)
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Abstract

We prove the Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group.

Keywords

Albanese mapL2-Betti numbersSinger conjecturenormalized Betti numbersfundamental group

MSC classification

Primary: 14F45: Topological properties
Secondary: 32L20: Vanishing theorems 57M07: Topological methods in group theory
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , First View , pp. 1 - 7
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Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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