Article ID Journal Published Year Pages File Type
4584856 Journal of Algebra 2014 6 Pages PDF
Abstract

Fix a smooth curve C over a field K and n   distinct points P1,…,Pn∈C(K)P1,…,Pn∈C(K). Here we prove several results on the gap sequence of the n  -ple (P1,…,Pn)(P1,…,Pn) in two very different set-ups (either as a subset of NnNn or, as introduced by Beelen and Tutaş, as a subset of ZnZn). Most results are when K is algebraically closed and large.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
,