TITLE

# The fundamental group of the complement of the branch curve of â„‚â„™1 Ã— T

AUTHOR(S)
Amram, Meirav; Friedman, Michael; Teicher, Mina
PUB. DATE
September 2009
SOURCE
Acta Mathematica Sinica;Sep2009, Vol. 25 Issue 9, p1443
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Denoting by T the complex projective torus, we can embed the surface â„‚â„™1Ã— T in â„‚â„™5. In this paper we compute the fundamental group of the complement of the branch curve of this surface. Since the embedding is not â€œample enoughâ€, the embedded surface does not belong to the classes of surfaces where the fundamental group is virtually solvable: a property which holds for these groups for â€œample enoughâ€ embeddings. On the other hand, as it is the first example of this computation for non simply-connected surfaces, the structure of this group (as shown in this paper) give rise to the extension of the conjecture regarding the structure of those fundamental groups of any surface.
ACCESSION #
44312254

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