Degenerations of K3 Surfaces of Degree Two

نویسنده

  • Alan Thompson
چکیده

Recall. Let π : X → ∆ be a semistable degeneration of K3 surfaces (i.e. a proper, flat, surjective morphism π : X → ∆ whose general fibre Xt = π−1(t) for t ∈ ∆∗ = ∆ − {0} is a smooth K3 surface, such that X is smooth and X0 := π −1(0) is reduced with normal crossings). Then Kulikov [Kul77] [Kul81] and Persson-Pinkham [PP81] show that we can perform birational modifications that affect only the central fibre X0

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تاریخ انتشار 2011