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I wonder if a semistalbe K3 surface over a $p$-adic field has a minimal semistable model. I guess yes but I do not find any reference.

Also, is if we have a semistable K3 surface with a log structure, there exist a minimal log semistable model?

Thanks.

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Minimal semistable model for K3-surfaces.

I wonder if a semistalbe K3 surface over a $p$-adic field has a minimal semistable model. I guess yes but I do not find any reference.

Also, is we have a semistable K3 surface with a log structure, there exist a minimal log semistable model?

Thanks.