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

Michael Albanese, Luca F. Di Cerbo, Luigi Lombardi

We discuss the Singer conjecture and Gromov-Lück inequality $\chi \ge |\sigma |$ for aspherical complex surfaces. We give a proof of the Singer conjecture for aspherical complex surface wit…