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Campedelli surfaces with fundamental group of order 8

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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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Official URL: http://dx.doi.org/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:
DateEvent
April 2009Published
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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