Geometric and Functional Analysis

, 19:1065

Moving and Ample Cones of Holomorphic Symplectic Fourfolds


DOI: 10.1007/s00039-009-0022-6

Cite this article as:
Hassett, B. & Tschinkel, Y. Geom. Funct. Anal. (2009) 19: 1065. doi:10.1007/s00039-009-0022-6


We analyze the ample and moving cones of holomorphic symplectic manifolds, in light of recent advances in the minimal model program. As an application, we establish a numerical criterion for ampleness of divisors on fourfolds deformation-equivalent to punctual Hilbert schemes of K3 surfaces.

Keywords and phrases

Birational geometryample conespunctual Hilbert schemes of K3 surfaces

2000 Mathematics Subject Classification

14J35 (14C30)

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  1. 1.Department of MathematicsRice UniversityHoustonUSA
  2. 2.Courant Institute of Mathematical Sciences, NYUNew YorkUSA