Optimal bounds for many T-singularities in stable surfaces

Author:

Fernando Figueroa, Julie Rana, Giancarlo Urzúa

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Geometric Topology (math.GT), Symplectic Geometry (math.SG)

journal:

date:

2023-08-09 16:00:00

Abstract

We effectively bound T-singularities on non-rational projective surfaces with an arbitrary amount of T-singularities and ample canonical class. We classify all possible geometric situations for which our bound is higher than expected. As an application, we work out in detail the case of two singularities.

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