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

Abstract

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
Volume45
Issue number4
DOIs
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© 2021 TÜBİTAK. All Rights Reserved.

Funding

This work is supported by the Emmy Noether Research Institute for Mathematics, the Minerva Foundation (Germany), the NSFC and the China Postdoctoral Science Foundation.

FundersFunder number
Emmy Noether Research Institute for Mathematics
Minerva Foundation
National Natural Science Foundation of China
China Postdoctoral Science Foundation

    Keywords

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

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