Semispecial Tensors and Quotients of the Polydisc
Abstract
ABSTRACT Let be a complex‐projective variety with klt singularities and ample canonical divisor. We prove that is a quotient of the polydisc by a group acting properly discontinuously and freely in codimension one if and only if admits a semispecial tensor with reduced hypersurface. This extends a result of Catanese and Di Scala to singular spaces and answers a question raised by these authors. As a key step in the proof, we establish the Bochner principle for holomorphic tensors on klt spaces in the negative Kähler–Einstein case.
Fields of Study & Subjects
Geometry and complex manifolds
Algebraic Geometry and Number Theory
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Mathematische Nachrichten
- Publisher
- Wiley
- Volume
- 299
- Issue
- 5
- Pages
- 1045–1061
- Publication date
- 20 March 2026
- Language
- EN