Trascendental Lattices of some K3-surfaces

Details Trascendental Lattices of some K3-surfaces Trascendental Lattices of some K3-surfaces

2005-05-20

arxiv.org/abs/math/0505441v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

In a previous paper, math.AG/0409419, we described six families of K3-surfaces with Picard-number 19, and we identified surfaces with Picard-number 20. In these notes we classify some of the surfaces by computing their transcendental lattices. Moreover we show that the surfaces with Picard-number 19 are birational to a Kummer surface which is the quotient of a non-product type abelian surface by an involution.

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