Orbifold Quotients of Symmetric Domains of Tube type

TL;DR

This paper characterizes compact orbifolds derived from tube type symmetric domains by discontinuous group actions, identifying key geometric properties such as ample canonical divisors and special tensors.

Contribution

It provides a characterization of such orbifolds using slope zero tensors and conditions on the canonical divisor, advancing understanding of their geometric structure.

Findings

Orbifolds are characterized by ample canonical divisors.

Presence of a slope zero tensor of orbifold type is essential.

The results connect geometric properties with group actions on symmetric domains.

Abstract

In this paper we characterize the compact orbifolds, quotients $ X = \mathcal{D} /\Gamma$ of a bounded symmetric domain $ \mathcal{D}$ of tube type by the action of a discontinuous group $\Gamma$, as those projective orbifolds with ample canonical divisor possessing a slope zero tensor of `orbifold type'.