Existence of Minimal Models for Varieties of Log General Type II.

Assuming finite generation in dimension $ n-1$, we prove that pl-flips exist in dimension $ n$.

Bibliographic Details
Main Authors: Hacon, Christopher D., McKernan, James
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Mathematical Society 2011
Online Access:http://hdl.handle.net/1721.1/63104
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author Hacon, Christopher D.
McKernan, James
author2 Massachusetts Institute of Technology. Department of Mathematics
author_facet Massachusetts Institute of Technology. Department of Mathematics
Hacon, Christopher D.
McKernan, James
author_sort Hacon, Christopher D.
collection MIT
description Assuming finite generation in dimension $ n-1$, we prove that pl-flips exist in dimension $ n$.
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spelling mit-1721.1/631042022-09-28T11:45:52Z Existence of Minimal Models for Varieties of Log General Type II. Hacon, Christopher D. McKernan, James Massachusetts Institute of Technology. Department of Mathematics McKernan, James McKernan, James Assuming finite generation in dimension $ n-1$, we prove that pl-flips exist in dimension $ n$. United States. National Security Agency (H98230-06-1-0059) National Science Foundation (U.S.) (Grant No. 0701101) 2011-05-25T14:24:01Z 2011-05-25T14:24:01Z 2010-01 2009-08 Article http://purl.org/eprint/type/JournalArticle 1088-6834 0894-0347 http://hdl.handle.net/1721.1/63104 Hacon, Christopher D. and James McKernan. "Existence of minimal models for varieties of log general type II ." J. Amer. Math. Soc. 23 (2010): 469-490. en_US http://dx.doi.org/10.1090/S0894-0347-09-00651-1 Journal of the American Mathematical Society Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf American Mathematical Society Prof. McKernan
spellingShingle Hacon, Christopher D.
McKernan, James
Existence of Minimal Models for Varieties of Log General Type II.
title Existence of Minimal Models for Varieties of Log General Type II.
title_full Existence of Minimal Models for Varieties of Log General Type II.
title_fullStr Existence of Minimal Models for Varieties of Log General Type II.
title_full_unstemmed Existence of Minimal Models for Varieties of Log General Type II.
title_short Existence of Minimal Models for Varieties of Log General Type II.
title_sort existence of minimal models for varieties of log general type ii
url http://hdl.handle.net/1721.1/63104
work_keys_str_mv AT haconchristopherd existenceofminimalmodelsforvarietiesofloggeneraltypeii
AT mckernanjames existenceofminimalmodelsforvarietiesofloggeneraltypeii