The orbifold fundamental group of Persson-Noether-Horikawa surfaces
| dc.creator | Catanese, Fabrizio | |
| dc.creator | Manfredini, Sandro | |
| dc.date | 1996-07-04 | |
| dc.date.accessioned | 2026-07-07T09:06:52Z | |
| dc.date.available | 2026-07-07T09:06:52Z | |
| dc.description | The Noether-Horikawa surfaces are the minimal surfaces S with K^2=2p_g-4. For 8 | K^2 they belong to two families of respective type C and N (connected, resp. non connected branch locus for the canonical map). For 16 | K^2 the two types are homeomorphic. Ulf Persson constructed surfaces of type N with a maximally singular canonical model X, whose topology encodes information on the differentiable structure of S. A similar analysis was done by the first author for type C. In this paper we study the genus 2 fibration on X and, in particular, our main result is (X^# being the nonsingular locus of X) π_1(X^#)= Z_4 x Z_4 if 8 | K^2 but 16 does not | K^2 π_1(X^#)= Z_4 x Z_2 if 16 | K^2. | |
| dc.description | LaTeX file, 19 pages with 1 figure | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9607005 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9607005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150167 | |
| dc.subject | Algebraic Geometry | |
| dc.title | The orbifold fundamental group of Persson-Noether-Horikawa surfaces | |
| dc.type | text |