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Uniform rational polytopes of foliated threefolds and the global ACC.

Authors :
Liu, Jihao
Meng, Fanjun
Xie, Lingyao
Source :
Journal of the London Mathematical Society. Jun2024, Vol. 109 Issue 6, p1-31. 31p.
Publication Year :
2024

Abstract

In this paper, we show the existence of uniform rational lc polytopes for foliations with functional boundaries in dimension ⩽3$\leqslant 3$. As an application, we prove the global ACC for foliated threefolds with arbitrary DCC coefficients. We also provide applications on the accumulation points of lc thresholds of foliations in dimension ⩽3$\leqslant 3$. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00246107
Volume :
109
Issue :
6
Database :
Academic Search Index
Journal :
Journal of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
177798422
Full Text :
https://doi.org/10.1112/jlms.12950