@article{fe7b11ec81f7405c970ce4d5c75acaae,
title = "Boundedness of moduli of varieties of general type",
abstract = "We show that the family of semi log canonical pairs with ample log canonical class and with fixed volume is bounded.",
keywords = "Abundance, Boundedness, General type, Minimal model program, Moduli",
author = "Hacon, {C. D.} and J. McKernan and C. Xu",
note = "Funding Information: We are grateful to J{\'a}nos Koll{\'a}r and Mihai Paun for many useful comments and suggestions and to the referee for a careful reading of this paper and some very helpful comments. The first author was partially supported by DMS-1300750, DMS-1265285 and a grant from the Simons foundation, the second author was partially supported by NSF research grant no. 0701101, no. 1200656 and no. 1265263 and this research was partially funded by the Simons foundation and by the Mathematische Forschungsinstitut Oberwolfach, and the third author was partially supported by “The Recruitment Program of Global Experts” grant from China. Part of this work was completed whilst the second and third authors were visiting the Freiburg Institute of Advanced Studies and they would like to thank Stefan Kebekus and the Institute for providing such a congenial place to work. Funding Information: The first author was partially supported by DMS-1300750, DMS-1265285 and a grant from the Simons foundation, the second author was partially supported by NSF research grant no. 0701101, no. 1200656 and no. 1265263 and this research was partially funded by the Simons foundation and by the Mathematische Forschungsinstitut Oberwolfach, and the third author was partially supported by “The Recruitment Program of Global Experts” grant from China. Part of this work was completed whilst the second and third authors were visiting the Freiburg Institute of Advanced Studies and they would like to thank Stefan Kebekus and the Institute for providing such a congenial place to work. Publisher Copyright: {\textcopyright} European Mathematical Society 2018.",
year = "2018",
doi = "10.4171/JEMS/778",
language = "English (US)",
volume = "20",
pages = "865--901",
journal = "Journal of the European Mathematical Society",
issn = "1435-9855",
publisher = "European Mathematical Society Publishing House",
number = "4",
}