Lopes, Margarida Mendes, Pardini, Rita and Reid, Miles (2009) Campedelli surfaces with fundamental group of order 8. In: 4th Iberoamerican Conference on Complex Geometry, Ouro Preto, Brazil, August 12-18, 2007. Published in: Geometriae Dedicata, Vol.139 (No.1). pp. 49-55. ISSN 0046-5755. doi:10.1007/s10711-008-9317-2

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Abstract

Let S be a Campedelli surface (a minimal surface of general type with p(g) = 0, K-2 = 2), and pi : Y -> S an etale cover of degree 8. We prove that the canonical model (Y) over bar of Y is a complete intersection of four quadrics (Y) over bar = Q(1) boolean AND Q(2) boolean AND Q(3) boolean AND Q(4) subset of P-6. As a consequence, Y is the universal cover of S, the covering group G = Gal(Y/S) is the topological fundamental group pi S-1 and G cannot be the dihedral group D-4 of order 8.

Item Type:	Conference Item (Paper)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Geometriae Dedicata
Publisher:	Springer
ISSN:	0046-5755
Official Date:	April 2009
Dates:	Date Event April 2009 Published
Volume:	Vol.139
Number:	No.1
Number of Pages:	7
Page Range:	pp. 49-55
DOI:	10.1007/s10711-008-9317-2
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	"Geometria delle varietà algebriche e dei loro spazi di moduli” (PRIN COFIN 2006), FCT (Portugal)
Conference Paper Type:	Paper
Title of Event:	4th Iberoamerican Conference on Complex Geometry
Type of Event:	Conference
Location of Event:	Ouro Preto, Brazil
Date(s) of Event:	August 12-18, 2007

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