Invariants of some compactified Picard modular surfaces and applications

Amir Džambić

Vol. 283 (2016), No. 2, 325–339

DOI: 10.2140/pjm.2016.283.325

Abstract

We investigate certain numerical invariants of compactified Picard modular surfaces by principal congruence subgroups of Picard modular groups. Applications to surface classification and modular forms are discussed.

Keywords

Picard modular surfaces, surfaces of general type, congruence subgroups

Mathematical Subject Classification 2010

Primary: 11F06, 14G35, 14J29

Milestones

Received: 17 November 2015

Revised: 19 January 2016

Accepted: 20 January 2016

Published: 22 June 2016