Change language
English Deutsch
Change currency
€ EUR £ GBP $ USD
Licensed Unlicensed Requires Authentication Published by De Gruyter September 11, 2008

Projective models of K3 surfaces with an even set

  • Alice Garbagnati and Alessandra Sarti
From the journal Advances in Geometry
https://doi.org/10.1515/ADVGEOM.2008.027

Abstract

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.

Key words.: K3 surfaces; even sets of curves; moduli
Received: 2007-01-16
Revised: 2007-10-04
Published Online: 2008-09-11
Published in Print: 2008-August

© de Gruyter 2008

From the journal
Advances in Geometry
Advances in Geometry
Volume 8 Issue 3

Journal and Issue

Articles in the same Issue

A rigidity result for domains with a locally strictly convex point
On the geometry of Grassmannian equivalent connections
On Lie groups as quasi-Kähler manifolds with Killing Norden metric
Relating the curvature tensor and the complex Jacobi operator of an almost Hermitian manifold
A characterization of m-ovoids and i-tight sets of polar spaces
On Grassmann secant extremal varieties
Almost del Pezzo manifolds
Projective models of K3 surfaces with an even set
Nonrational del Pezzo fibrations
Principal bundles over a smooth real projective curve of genus zero
Downloaded on 25.4.2024 from https://www.degruyter.com/document/doi/10.1515/ADVGEOM.2008.027/html
Scroll to top button