Nef cycles on some hyperkahler fourfolds

2015/05/06 by Ottem, John Christian
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1505.01477

Abstract

We study the cones of surfaces on varieties of lines on cubic fourfolds and Hilbert schemes of points on K3 surfaces. From this we obtain new examples of nef cycles which fail to be pseudoeffective.

Related

• Nef cones of Hilbert schemes of points on some K3 surfaces
• Varieties with nef diagonal
• Positive cones of dual cycle classes
• Pseudo-effective and nef cones on spherical varieties
• Some surfaces with non-polyhedral nef cones