paper

On the Galois covers of degenerations of surfaces of minimal degree

arXiv:2307.06094

Abstract

We investigate the topological structures of Galois covers of surfaces of minimal degree (i.e., degree n) in n+1 dimensional complex projective space. We prove that for n is greater than or equal to 5, the Galois covers of any surfaces of minimal degree are simply-connected surfaces of general type.

18 pages, 6 figures