On the fundamental group of real toric varieties
| dc.creator | Uma, V | |
| dc.date | 2006-07-26 | |
| dc.date.accessioned | 2026-07-07T07:20:58Z | |
| dc.date.available | 2026-07-07T07:20:58Z | |
| dc.description | Let $X(Δ)$ be the real toric variety associated to a smooth fan $Δ$. The main purpose of this article is: (i) to determine the fundamental group and the universal cover of $X(Δ)$, (ii) to give necessary and sufficient conditions on $Δ$ under which $π_1(X(Δ))$ is abelian, (iii) to give necessary and sufficient conditions on $Δ$ under which $X(Δ)$ is aspherical, and when $Δ$ is complete, (iv) to give necessary and sufficient conditions for $\cc_Δ$ to be a $K(π,1)$ space where $\cc_Δ$ is the complement of a real subspace arrangement associated to $Δ$. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0607663 | |
| dc.identifier | http://arxiv.org/abs/math/0607663 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci), Vol. 114, No. 1, February 2004, pp-15-31. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115139 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.title | On the fundamental group of real toric varieties | |
| dc.type | text |