On the Relative Minimal Model Program for Threefolds in Low Characteristics

作     者：Christopher Hacon Jakub Witaszek 

作者机构：Department of MathematicsUniversity of UtahSalt Lake CityUT 84112USA Department of MathematicsUniversity of MichiganAnn ArborMI 48109USA 

出 版 物：《Peking Mathematical Journal》 (北京数学杂志（英文）)

年 卷 期：2022年第5卷第2期

页      面：365-382页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by NSF research Grants no.DMS-1300750,DMS-1840190,DMS-1801851 and by a grant from the Simons Foundation,Award number 256202 supported by the Engineering and Physical Sciences Research Council(EP/L015234/1)during his PhD at Imperial College London the National Science Foundation under Grant no.DMS-1638352 at the Institute for Advanced Study in Princeton the National Science Foundation under Grant no.DMS-1440140 while the author was in residence at the Mathematical Sciences Research Institute in Berkeley,California,during the Spring 2019 semester 

主　　题：Minimal model program Kawamata log terminal singularities Positive characteristic 

摘      要：We show the validity of the relative dlt MMP overℚ-factorial threefolds in all characteristics p*** a corollary,we generalise many recent results to low characteristics including:WO-rationality of klt singularities,inversion of adjunction,and normality of divisorial centres up to a universal homeomorphism.