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Diophantine equations, rational points, abelian varieties, Arakelov theory, Iwasawa theory.

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Minimal semistable model for K3-surfaces.

The answer is yes when p>3. Look at Kawamata's paper Semistable minimal models of threefolds in positive or mixed characteristic. J. Algebraic Geom. 3 (1994), no. 3, 463–491. and a correction in I …
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