An Arakelov inequality in characteristic \(p\) and upper bound of \(p\)-rank zero locus

DOI10.1016/j.jnt.2009.05.015zbMath1222.14056arXiv0811.1529OpenAlexW2001836251MaRDI QIDQ1035591

Kang Zuo, Mao Sheng, Jun Lu

Publication date: 4 November 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1529

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (7)

Weak positivity theorem and Frobenius stable canonical rings of geometric generic fibers ⋮ Higgs bundles over the good reduction of a quaternionic Shimura curve ⋮ On the Arakelov inequality in positive characteristic ⋮ Relative Noether inequality on fibered surfaces ⋮ Unnamed Item ⋮ Fibered varieties over curves with low slope and sharp bounds in dimension three ⋮ Generic positivity and foliations in positive characteristic

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