Optimal bounds for T-singularities in stable surfaces

Abstract

We explicitly bound T-singularities on normal projective surfaces W with one singularity, and K-W ample. This bound depends only on K-W(2), and it is optimal when W is not rational. We classify and realize surfaces attaining the bound for each nonnegative Kodaira dimension of the minimal resolution of W. This answers effectiveness of bounds (see [1], [2], [17]) for those surfaces. (C) 2019 Elsevier Inc. All rights reserved.Keywords Author Keywords:Surfaces of general type

Moduli spaces

Wahl singularities

T-singularities