The fundamental group of Galois cover of the surface ${\mathbb T} \times {\mathbb T}$

dc.creatorAmram, Meirav
dc.creatorTeicher, Mina
dc.creatorVishne, Uzi
dc.date2005-01-20
dc.date2008-03-20
dc.date.accessioned2026-07-07T09:27:34Z
dc.date.available2026-07-07T09:27:34Z
dc.descriptionThis is the final paper in a series of four, concerning the surface $T \times T$ embedded in $\mathbb{CP}^8$, where $T$ is a the one dimensional torus. In this paper we compute the fundamental group of the Galois cover of the surface with respect to a generic projection onto $\mathbb{CP}^2$, and show that it is nilpotent of class 3. This is the first time such a group is presented as the fundamental group of a Galois cover of a surface.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0501318
dc.identifierhttp://arxiv.org/abs/math/0501318
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157146
dc.subjectAlgebraic Geometry
dc.subject14J10; 14J25
dc.titleThe fundamental group of Galois cover of the surface ${\mathbb T} \times {\mathbb T}$
dc.typetext

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