Turkish Journal of Mathematics
DOI
10.3906/mat-2012-28
Abstract
Let $X$ be an algebraic surface of degree $5$, which is considered 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.
Keywords
Degeneration, generic projection, Galois cover, braid monodromy, fundamental group
First Page
1517
Last Page
1542
Recommended Citation
AMRAM, MEIRAV; GONG, CHENG; TEICHER, MINA; and XU, WAN-YUAN
(2021)
"Fundamental group of Galois covers of degree 5 surfaces,"
Turkish Journal of Mathematics: Vol. 45:
No.
4, Article 3.
https://doi.org/10.3906/mat-2012-28
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss4/3
