Abstract
We give a natural sufficient condition which ensures the finiteness of the number of integral points on a projective space omitting finitely many hyperplanes defined over a one-dimensional function field of positive characteristic. In this setting, when the number of hyperplanes is 2n+2, where n is the dimension of the ambient projective space, we use this natural condition to explain and sharpen an earlier result of the second named author, which provides a concrete condition on the coefficients of the linear forms producing hyperplanes such that the above finiteness property is satisfied.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
