✦ LIBER ✦

A curve of degree five with non-abelian fundamental group

✍ Scribed by Enrique Altal Bartolo

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 890 KB
Volume: 79
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(96)00169-1

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✦ Synopsis

We compute the fundamental group of an irreducible rational quintic curve applying Cremona transformations and covering methods. We find a non-abelian group which is also the fundamental group of a Q-homology sphere of dimension 3.

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