Stable reduction for log canonically polarized varieties holds in large characteristic assuming two standard MMP conjectures; for surfaces this recovers Hacon-Kovács properness of the moduli of stable surfaces.
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Stable Reduction via the Log Canonical Model
Stable reduction for log canonically polarized varieties holds in large characteristic assuming two standard MMP conjectures; for surfaces this recovers Hacon-Kovács properness of the moduli of stable surfaces.