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 language | English |
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Pages (from-to) | 1517-1542 |
Number of pages | 26 |
Journal | Turkish Journal of Mathematics |
Volume | 45 |
Issue number | 4 |
DOIs | |
State | Published - 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.
Funders | Funder number |
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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