THE BIRATIONAL INVARIANTS OF LINS NETO'S FOLIATIONS

Hao Ling; Jun Lu; Sheng Li Tan

doi:10.1090/proc/16401

THE BIRATIONAL INVARIANTS OF LINS NETO'S FOLIATIONS

Hao Ling
, Jun Lu
, Sheng Li Tan

数学科学学院

Nanjing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

Lins Neto [Ann. Sci. École Norm. Sup. (4) 35 (2002), pp. 231- 266] constructed families of foliations which are counterexamples to Poincaré's Problem and Painlevé'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.

源语言	英语
页（从-至）	5223-5238
页数	16
期刊	Proceedings of the American Mathematical Society
卷	151
期	12
DOI	https://doi.org/10.1090/proc/16401
出版状态	已出版 - 1 12月 2023

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AB - Lins Neto [Ann. Sci. École Norm. Sup. (4) 35 (2002), pp. 231- 266] constructed families of foliations which are counterexamples to Poincaré's Problem and Painlevé'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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THE BIRATIONAL INVARIANTS OF LINS NETO'S FOLIATIONS

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