A Note on Height Inequality

ABSTRACT

The purpose of this article is to try to determine the error term in Vojta's height inequality for algebraic points over function fields.

Key Words:

• Algebraic points
• Height inequality

Mathematics Subject Classification:

• 14J17
• 14J19

ACKNOWLEDGMENTS

I would like to thank Prof. Zhijie Chen and Prof. Sheng-Li Tan for their useful advices and selfless help. The idea of this note comes from the latter who also gives many important suggestions which make the article readable.

Notes

Communicated by L. Ein.