@article{dcfa686044b143dca2a837ba5ede7835,
title = "THE MINIMAL MODEL PROGRAM FOR THREEFOLDS IN CHARACTERISTIC 5",
abstract = "We show the validity of the minimal model program (MMP) for threefolds in characteristic 5.",
author = "Christopher Hacon and Jakub Witaszek",
note = "Funding Information: We would like to thank Fabio Bernasconi, Paolo Cascini, James McKernan, Karl Schwede, and Hiromu Tanaka for comments and helpful suggestions. We are grateful to the referees for their help in improving the manuscript. Hacon{\textquoteright}s work was partially supported by National Science Foundation (NSF) research grants DMS-1300750, DMS-1840190, and DMS-1801851 and by Simons Foundation grant 256202. He would also like to thank both the Department of Mathematics and the Research Institute for Mathematical Sciences located at Kyoto University, and the Mathematical Sciences Research Institute in Berkeley where some of this research was conducted. Witaszek{\textquoteright}s work was partially supported by Engineering and Physical Sciences Research Council (EPSRC) grant EP/L015234/1 during his Ph.D. at Imperial College London, by NSF grant DMS-1638352 while at the Institute for Advanced Study in Princeton, and by NSF grant DMS-1440140 while the author was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2019 semester. Moreover, he is partially supported by the NSF research grant DMS-2101897. Funding Information: Hacon{\textquoteright}s work was partially supported by National Science Foundation (NSF) research grants DMS-1300750, DMS-1840190, and DMS-1801851 and by Simons Foundation grant 256202. He would also like to thank both the Department of Mathematics and the Research Institute for Mathematical Sciences located at Kyoto University, and the Mathematical Sciences Research Institute in Berkeley where some of this research was conducted. Witaszek{\textquoteright}s work was partially supported by Engineering and Physical Sciences Research Council (EPSRC) grant EP/L015234/1 during his Ph.D. at Imperial College London, by NSF grant DMS-1638352 while at the Institute for Advanced Study in Princeton, and by NSF grant DMS-1440140 while the author was in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2019 semester. Moreover, he is partially supported by the NSF research grant DMS-2101897. Publisher Copyright: {\textcopyright} 2022 Duke University Press. All rights reserved.",
year = "2022",
month = jan,
day = "15",
doi = "10.1215/00127094-2022-0024",
language = "English (US)",
volume = "171",
pages = "2193--2231",
journal = "Duke Mathematical Journal",
issn = "0012-7094",
publisher = "Duke University Press",
number = "11",
}