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arXiv · 1610.09612

Fundamental group of Galois covers of degree 5 surfaces

Meirav Amram·Cheng Gong·Mina Teicher·Wan-Yuan Xu
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Abstract

Let $X$ be an algebraic surface of degree $5$, which is considered as a branch cover of $\mathbb{CP}^2$ with respect to a generic projection. The surface has a natural Galois cover with Galois group $S_5$. In this paper, we deal with the fundamental groups of Galois covers of degree $5$ surfaces that degenerate to nice plane arrangements; each of them is a union of five planes such that no three planes meet in a line.

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Meirav Amram, Cheng Gong, Mina Teicher, Wan-Yuan Xu. 2016-10-30. Fundamental group of Galois covers of degree 5 surfaces. https://arxiv.org/abs/1610.09612

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