TITLE

The fundamental group of the complement of the branch curve of ℂℙ1 × 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
Academic Journal
DOC. TYPE
Article
ABSTRACT
Denoting by T the complex projective torus, we can embed the surface ℂℙ1× T in ℂℙ5. In this paper we compute the fundamental group of the complement of the branch curve of this surface. Since the embedding is not “ample enough”, 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 “ample enough” 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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