Abstract
This is the final paper in a series of four, concerning the surface double strok T sign × double strok T sign embedded in ℂℙ8, where is 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 ℂℙ2, 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1259-1282 |
| Number of pages | 24 |
| Journal | International Journal of Algebra and Computation |
| Volume | 18 |
| Issue number | 8 |
| DOIs | |
| State | Published - Dec 2008 |
Bibliographical note
Funding Information:The first named author is partially supported by EU-network HPRN-CT-2009-00099 (EAGER), the Emmy Noether Research Institute for Mathematics and the Minerva Foundation of Germany, and an Israel Science Foundation grant #8008/02-3 (Excellency Center “Group Theoretic Methods in the Study of Algebraic Varieties”). The work was also supported in part by the Edmund Landau Center for Research in Mathematical Analysis and Related Areas, sponsored by the Minerva Foundation (Germany). The first named author thanks the Landau center and especially Prof. Ruth Neumark-Lawrence for their hospitality.
Keywords
- Algebraic surfaces
- Braid monodromy
- Coxeter groups
- Fundamental groups
- Galois covers