Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



Transcendental lattice of an extremal elliptic surface

Author: Alex Degtyarev
Journal: J. Algebraic Geom. 21 (2012), 413-444
Published electronically: June 27, 2011
MathSciNet review: 2914799
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Abstract: We develop an algorithm computing the transcendental lattice and the Mordell-Weil group of an extremal elliptic surface. As an example, we compute the lattices of four exponentially large series of surfaces.

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Alex Degtyarev
Affiliation: Department of Mathematics, Bilkent University, 06800 Ankara, Turkey

Received by editor(s): July 10, 2009
Received by editor(s) in revised form: September 29, 2009, and December 31, 2009
Published electronically: June 27, 2011

American Mathematical Society