We investigate when the fundamental group of the smooth part of a K3 surface or Enriques surface with Du Val singularities, is ΓΏnite. As a corollary we give an e ective upper bound for the order of the fundamental group of the smooth part of a certain Fano 3-fold. This result supports Conjecture A b
On the fundamental groups of some open rational surfaces
β Scribed by R. V. Gurjar; D. -Q. Zhang
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 854 KB
- Volume
- 306
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Let X , be a geometrically connected smooth and proper curve over a local or global field K . Following GROTHENDIECK [3] there is a canonical exact sequence for the (etale) fundamental group z,(X,) of X,. (Here and in the following we will omit the base points.) where I? denotes an algebraic closur
## Abstract We prove dimension formulas for the cotangent spaces __T__ ^1^ and __T__ ^2^ for a class of rational surface singularities by calculating a correction term in the general dimension formulas. We get that it is zero if the dual graph of the rational surface singularity __X__ does not cont