Computation-free presentation of the fundamental group of generic $(p,q)$-torus curves

Abstract

In this note, we present a new method for computing fundamental groups of curve complements using a variation of the Zariski-Van Kampen method on general ruled surfaces. As an application we give an alternative (computation-free) proof for the fundamental group of generic $(p,q)$-torus curves.

7 pages, 3 figures

References in corpus (1)

• On the connection between fundamental groups and pencils with multiple fibers

Cited by in corpus (1)

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