The Coxeter quotient of the fundamental group of a Galois cover of T \times T
| dc.creator | Meirav, Amram | |
| dc.creator | Teicher, Mina | |
| dc.creator | Vishne, Uzi | |
| dc.date | 2004-04-26 | |
| dc.date | 2009-03-23 | |
| dc.date.accessioned | 2026-07-07T12:54:53Z | |
| dc.date.available | 2026-07-07T12:54:53Z | |
| dc.description | Let $X$ be the surface $\T\times\T$ where $\T$ is the complex torus. This paper is the third in a series, studying the fundamental group of the Galois cover of $X$ \wrt a generic projection onto $\C¶^2$. Van Kampen Theorem gives a presentation of the fundamental group of the complement of the branch curve, with 54 generators and more than 2000 relations. Here we introduce a certain natural quotient (obtained by identifying pairs of generators), prove it is a quotient of a Coxeter group related to the degeneration of $X$, and show that this quotient is virtually nilpotent. | |
| dc.description | 25 pp | |
| dc.identifier | https://arxiv.org/abs/math/0404459 | |
| dc.identifier | http://arxiv.org/abs/math/0404459 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224094 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Group Theory | |
| dc.subject | 14J29 | |
| dc.title | The Coxeter quotient of the fundamental group of a Galois cover of T \times T | |
| dc.type | text |