Asian Journal of Mathematics
Volume 22 (2018)
Special issue in honor of Ngaiming Mok (3 of 3)
Guest Editors: Jun-Muk Hwang, Korea Institute for Advanced Study; Yum-Tong Siu, Harvard University; Wing-Keung To, National University of Singapore; Stephen S.-T. Yau, Tsinghua University; Sai-Kee Yeung, Purdue University
Remarks on Xiao’s approach of slope inequalities
Pages: 691 – 704
We prove the slope inequality for a relative minimal surface fibration in positive characteristic via Xiao’s approach. We also prove a better low bound for the slope of non-hyperelliptic fibrations.
slope inequality, surface fibration, non-hyperelliptic fibration, Harder–Narasimhan filtration, strongly semi-stable
2010 Mathematics Subject Classification
Hao Sun is supported by the National Natural Science Foundation of China (No. 11301201).
Xiaotao Sun is supported by the National Natural Science Foundation of China (No. 11321101).
Mingshuo Zhou is supported by the National Natural Science Foundation of China (No. 11501154) and Natural Science Foundation of Zhejiang Provincial (No. LQ16A010005).
Received 11 August 2016
Accepted 2 June 2017
Published 20 September 2018