Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 51, No. 2, pp. 391-415 (2010)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 51, No. 2, pp. 391-415 (2010) |
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A concrete example of symplectic duality among $K$-3 SurfaceAlberto AlzatiDipartimento di Matematica Università di Milano, via C.\ Saldini 50, 20133-Milano, Italy, e-mail: alberto.alzati@unimi.itAbstract: An explicit example of symplectic duality among two particular $K$-3 surfaces is given. The example was considered by Iliev and Ranestad. Here, by using projective and computer algebra methods, it is proved that the two surfaces are in fact dominated by a $3$-fold. Keywords: conic bundles, $K$-3 surfaces, birational maps, vector bundles Classification (MSC2000): 14J30; 14J25 Full text of the article (for subscribers):
Electronic version published on: 24 Jun 2010. This page was last modified: 8 Sep 2010.
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