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arXiv:0710.0279 [math.AG]AbstractReferencesReviewsResources

Zariski $k$-plets via dessins d'enfants

Alex Degtyarev

Published 2007-10-01, updated 2008-04-17Version 2

We construct exponentially large collections of pairwise distinct equisingular deformation families of irreducible plane curves sharing the same sets of singularities. The fundamental groups of all curves constructed are abelian.

Comments: Final version accepted for publication
Journal: Comment. Math. Helv., 84:3 (2009) 639--671
Categories: math.AG
Subjects: 14H50, 14H30, 14D05
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