English

Trascendental Lattices of some K3-surfaces

Algebraic Geometry 2007-05-23 v1

Abstract

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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Cite

@article{arxiv.math/0505441,
  title  = {Trascendental Lattices of some K3-surfaces},
  author = {Alessandra Sarti},
  journal= {arXiv preprint arXiv:math/0505441},
  year   = {2007}
}

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16 pages