Transcendental lattice of an extremal elliptic surface

Details Transcendental lattice of an extremal elliptic surface Transcendental lattice of an extremal elliptic surface

2009-07-10

arxiv.org/abs/0907.1809v3

Mathematics

Algebraic Geometry

a number of proofs clarified and expanded

Scientific paper

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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