Fundamental groups of Galois covers of degree 5 surfaces

Meirav Amram, Cheng Gong, Mina Teicher, Wan Yuan Xu

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Let X be an algebraic surface of degree 5, which is considered a branch cover of (Formula presented) with respect to a generic projection. The surface has a natural Galois cover with Galois group S5. 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.

Original languageEnglish
Pages (from-to)1517-1542
Number of pages26
JournalTurkish Journal of Mathematics
Issue number4
StatePublished - 2021

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  • Degeneration
  • Galois cover
  • braid monodromy
  • fundamental group
  • generic projection


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