Explicit computations on the desingularized Kummer surface
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- by V. G. Lopez Neumann and Constantin Manoil PDF
- Math. Comp. 81 (2012), 1149-1161 Request permission
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 $\mathcal {S}$.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
- Received by editor(s): July 3, 2009
- Published electronically: September 30, 2011
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 81 (2012), 1149-1161
- MSC (2010): Primary 14J28, 14M15; Secondary 14J50
- DOI: https://doi.org/10.1090/S0025-5718-2011-02547-0
- MathSciNet review: 2869054