The 3-cuspidal Quartic and Braid Monodromy of Degree 4 Coverings
نویسندگان
چکیده
A question which was left open in [C-W] was the symplectic equivalence of the above (a, b, c)-surfaces. To this purpose, and for more general purposes, it is important to determine the braid monodromy factorization of the branch curve corresponding to a symplectic deformation of the 4-1 covering S → P × P possessed by an (a, b, c)-surface S (note that in [C-W] one key result was the determination of the mapping class group monodromy factorization, which is a homomorphic image of the braid monodromy factorization).
منابع مشابه
A Degree Doubling Formula for Braid Monodromies and Lefschetz Pencils
Contents 1. Introduction 1 1.1. Braid monodromy invariants 3 1.2. The degree doubling process 6 1.3. Degree doubling for symplectic Lefschetz pencils 9 2. Stably quasiholomorphic coverings 10 2.1. Quasiholomorphic coverings and braided curves 10 2.2. Stably quasiholomorphic coverings 11 2.3. Proof of Proposition 1 18 3. The degree doubling formula for braid monodromies 21 3.
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