# Seminar in Real & Complex Geometry

## Numerically pluricanonical cyclic coverings

Abstract

 In the talk, it will be discussed some properties of cyclic coverings $f: Y\to X$ of complex surfaces of general type $X$ branched along smooth curves $B\subset X$ that are numerically equivalent to a multiple of the canonical class of $X$. The main results concern coverings of surfaces of general type with $p_g=0$ and Miyaoka--Yau surfaces; in particular, they provide new examples of multicomponent moduli spaces of surfaces with given Chern numbers as well as new examples of surfaces that are not deformation equivalent to their complex conjugates.