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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Explicit computations on the desingularized Kummer surface


Authors: V. G. Lopez Neumann and Constantin Manoil
Journal: Math. Comp. 81 (2012), 1149-1161
MSC (2010): Primary 14J28, 14M15; Secondary 14J50
Published electronically: September 30, 2011
MathSciNet review: 2869054
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Abstract | References | Similar Articles | Additional Information

Abstract: We find formulas for the birational maps from a Kummer surface $ \mathcal {K}$ and its dual $ \mathcal {K}^*$ to their common minimal desingularization $ \mathcal {S}$. We show how the nodes of $ \mathcal {K}$ and $ \mathcal {K}^*$ blow up. Then we give a description of the group of linear automorphisms of $ \mathcal {S}$.


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Additional Information

V. G. Lopez Neumann
Affiliation: Faculdade de Matemática, Universidade Federal de Uberlândia, MG, Brazil
Email: gonzalo@famat.ufu.br

Constantin Manoil
Affiliation: Section de Mathématiques, Université de Genève, CP 64, 1211 Geneva 4, Switzerland
Address at time of publication: Collège Sismondi, 3 Chemin Rigot, 1202 Genève (Geneva), Switzerland
Email: constantin.manoil@edu.ge.ch

DOI: http://dx.doi.org/10.1090/S0025-5718-2011-02547-0
PII: S 0025-5718(2011)02547-0
Keywords: Genus $2$ curves, Kummer surfaces, line complexes.
Received by editor(s): July 3, 2009
Published electronically: September 30, 2011
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.