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 careful 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.
|Titolo:||Projective models of $K3$ surfaces with an even set|
GARBAGNATI, ALICE (Primo)
|Parole Chiave:||K3 surfaces, even sets of curves, moduli|
|Data di pubblicazione:||2008|
|Digital Object Identifier (DOI):||10.1515/ADVGEOM.2008.027|
|Appare nelle tipologie:||01 - Articolo su periodico|