THE FUNDAMENTAL GROUP OF THE GALOIS COVER OF HIRZEBRUCH SURFACE F1(2, 2)

AMRAM MEIRAV, M. Teicher, VISHNE UZI

Research output: Contribution to journalArticlepeer-review

Abstract

This paper is the second in a series of papers concerning Hirzebruch surfaces. In the first paper in this series, the fundamental group of Galois covers of Hirzebruch surfaces Fk(a, b), where a, b are relatively prime, was shown to be trivial. For the general case, the conjecture stated that the fundamental group is where c = gcd(a, b) and n = 2ab + kb2. In this paper, we degenerate the Hirzebruch surface F1(2, 2), compute the braid monodromy factorization of the branch curve in ℂ2, and verify that, in this case, the conjecture holds: the fundamental group of the Galois cover of F1(2, 2) with respect to a generic projection is isomorphic to . Read More: http://www.worldscientific.com/doi/abs/10.1142/S0218196707003780
Original languageAmerican English
Pages (from-to)507-525
JournalInternational Journal of Algebra and Computation
Volume17
Issue number3
StatePublished - 2007

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