Singer Conjecture for Varieties with Semismall Albanese Map and Residually Finite Fundamental Group

Abstract

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

arXiv commentv3: final version, to appear in "Proceedings of the Royal Society of Edinburgh Section A: Mathematical and Physical Sciences"; 9 pages

References in corpus (1)

• L^2-Betti Numbers and Convergence of Normalized Hodge Numbers via the Weak Generic Nakano Vanishing Theorem

Cited by in corpus (1)

• Aspherical Complex Surfaces, the Singer Conjecture, and Gromov-Lück Inequality $\chi \ge |\sigma |$