Beitr\ EMIS ELibM Electronic Journals 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 Surface

Alberto Alzati

Dipartimento di Matematica Università di Milano, via C.\ Saldini 50, 20133-Milano, Italy, e-mail:

Abstract: 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

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Electronic version published on: 24 Jun 2010. This page was last modified: 8 Sep 2010.

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