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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. doi:10.1007/s10711-008-9317-2 ISSN 0046-5755.
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Official URL: http://dx.doi.org/10.1007/s10711-008-9317-2
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) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Geometriae Dedicata | ||||
Publisher: | Springer | ||||
ISSN: | 0046-5755 | ||||
Official Date: | April 2009 | ||||
Dates: |
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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 |
Data sourced from Thomson Reuters' Web of Knowledge
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