On non fundamental group equivalent surfaces
نویسندگان
چکیده
منابع مشابه
On Non Fundamental Group Equivalent Surfaces
In this paper we present an example of two polarized K3 surfaces which are not Fundamental Group Equivalent (their fundamental groups of the complement of the branch curves are not isomorphic; denoted by FGE) but the fundamental groups of their related Galois covers are isomorphic. For each surface, we consider a generic projection to CP and a degenerations of the surface into a union of planes...
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Let X be a surface of degree 5, which is considered as a branch cover of CP with respect to a generic projection. The surface has a natural Galois cover with Galois group Sn. In this paper, we compute the fundamental groups of Galois covers of degree 5 that degenerate to nice plane arrangements; each of them is a union of five planes such that no three planes meet in a line. As an application, ...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2008
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2008.8.397