An effective Schmidt's subspace theorem for non-linear forms over function fields

✍ Scribed by Ta Thi Hoai An; Julie Tzu-Yueh Wang

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 201 KB
• Volume: 125
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2006.10.015

✦ Synopsis

We deduce an effective version of Schmidt's subspace theorem over function fields of characteristic zero for arbitrary homogeneous polynomials in place of linear forms. We will then apply this result to study the S-integral points of a general Thue's equation.