Higher-dimensional analogues of K3 surfaces
2010
0 Introduction 11 Examples 31.1 Beauville . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31.2 Mukai and beyond . . . . . . . . . . . . . . . . . . . . . . . . . . 51.3 Mukai flops . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 General theory 72.1 Topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72.2 The Kahler cone . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 Complete families of HK varieties 143.1 Double EPW-sextics, I . . . . . . . . . . . . . . . . . . . . . . . . 163.2 The Beauville-Donagi family . . . . . . . . . . . . . . . . . . . . 214 Numerical Hilbert squares 224.1 The deformation . . . . . . . . . . . . . . . . . . . . . . . . . . . 234.2 Double EPW-sextics, II . . . . . . . . . . . . . . . . . . . . . . . 285 Global Torelli and deformations of K3
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