THE BIRATIONAL INVARIANTS OF LINS NETO'S FOLIATIONS

作者:Ling, Hao*; Lu, Jun; Tan, Sheng-Li
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151(12): 5223-5238.
DOI:10.1090/proc/16401

摘要

Lins Neto [Ann. Sci. Ecole Norm. Sup. (4) 35 (2002), pp. 231- 266] constructed families of foliations which are counterexamples to Poincare & PRIME;'s Problem and Painleve & PRIME;'s Problem. We will determine the minimal models of these families of foliations, calculate their Chern numbers, Kodaira dimension, and numerical Kodaira dimension. We prove that the slopes of Lins Neto's foliations are at least 6, and their limits are bigger than 7.

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