On the Relative Minimal Model Program for Threefolds in Low Characteristics

Christopher Hacon; Jakub Witaszek

doi:10.1007/s42543-021-00037-7

Peking Mathematical Journal ›› 2021, Vol. 5 ›› Issue (2) : 365 -382. DOI: 10.1007/s42543-021-00037-7

Original Article

On the Relative Minimal Model Program for Threefolds in Low Characteristics

Christopher Hacon ¹
, Jakub Witaszek ²^,^b

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Abstract

We show the validity of the relative dlt MMP over ${\mathbb{Q}}$-factorial threefolds in all characteristics $p>0$. As a corollary, we generalise many recent results to low characteristics including: $W{\mathcal{O}}$-rationality of klt singularities, inversion of adjunction, and normality of divisorial centres up to a universal homeomorphism.

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Christopher Hacon, Jakub Witaszek. On the Relative Minimal Model Program for Threefolds in Low Characteristics. Peking Mathematical Journal, 2021, 5(2): 365-382 DOI:10.1007/s42543-021-00037-7