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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
Posted:
September 30, 2011
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Additional Information
Abstract: We find formulas for the birational maps from a Kummer surface  and its dual  to their common minimal desingularization  . We show how the nodes of  and  blow up. Then we give a description of the group of linear automorphisms of  .
References
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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
Posted:
September 30, 2011
Article copyright:
© Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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