On the Galois covers of degenerations of surfaces of minimal degree

Author:

Meirav Amram, Cheng Gong, Jia-Li Mo

Keyword:

Mathematics, Algebraic Geometry, Algebraic Geometry (math.AG), Algebraic Topology (math.AT), Combinatorics (math.CO), Geometric Topology (math.GT)

journal:

date:

2023-07-11 16:00:00

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.

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