6533b86dfe1ef96bd12c9eba

RESEARCH PRODUCT

Transcendental lattices of some K 3-surfaces

Alessandra Sarti

subject

Pure mathematicsMathematics::Algebraic GeometryGeneral MathematicsMathematical analysisAbelian surfaceTranscendental numberKummer surfaceQuotientMathematics

description

In a previous paper, (S2), 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.

https://doi.org/10.1002/mana.200510657