6533b857fe1ef96bd12b510f

RESEARCH PRODUCT

Projective models of K3 surfaces with an even set

Alessandra SartiAlice Garbagnati

subject

14J28 14J10 14E20Discrete mathematicsMathematics - Algebraic GeometryPure mathematicsMathematics::Algebraic GeometryFOS: MathematicsGeometry and TopologyProjective testAlgebraic numberAlgebraic Geometry (math.AG)Twisted cubicMathematics

description

The aim of this paper is to describe algebraic K3 surfaces with an even set of rational curves or of nodes. Their minimal possible Picard number is nine. We completely classify these K3 surfaces and after a carefull analysis of the divisors contained in the Picard lattice we study their projective models, giving necessary and sufficient conditions to have an even set. Moreover we investigate their relation with K3 surfaces with a Nikulin involution.

yearjournalcountryeditionlanguage
2006-11-07advg
https://doi.org/10.1515/advgeom.2008.027