Fundamental groups of open K3 surfaces, Enriques surfaces and Fano 3-folds
| dc.creator | Keum, J. | |
| dc.creator | Zhang, D. -Q. | |
| dc.date | 2001-04-02 | |
| dc.date.accessioned | 2026-07-07T04:40:56Z | |
| dc.date.available | 2026-07-07T04:40:56Z | |
| dc.description | We investigate when the fundamental group of the smooth part of a K3 surface or Enriques surface with Du Val singularities, is finite. As a corollary we give an effective upper bound for the order of the fundamental group of the smooth part of a certain Fano 3-fold. This result supports Conjecture A below, while Conjecture A (or alternatively the rational connectedness conjecture in [KoMiMo] which is still open when the dimension is at least 4) would imply that every log terminal Fano variety has a finite fundamental group (now a Theorem of S. Takayama). | |
| dc.description | Journal of Pure and Applied Algebra, to appear; 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0104017 | |
| dc.identifier | http://arxiv.org/abs/math/0104017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61208 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J28; 14F35 | |
| dc.title | Fundamental groups of open K3 surfaces, Enriques surfaces and Fano 3-folds | |
| dc.type | text |