2013/07/01 by Giovanni Mongardi, Mongardi, Giovanni
Mathematics · #14J35 14J40 14E30 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG #msc:14E30 #msc:14J35 #msc:14J40
paper · pdf · doi:10.48550/arxiv.1307.0393
v3: Final version, to appear in Asian J. Math. v2: added reference to independent proof of an equivalent result by Prof. Bayer, Prof. Hassett and Prof. Tschinkel. minor changes
arxiv created 2014/03/25 · arxiv updated 2014/03/26
In the present paper we prove that, on a hyperkähler manifold, walls of the kähler cone and extremal rays of the Mori cone are determined by all divisors satisfying certain numerical conditions.