Maximum X-rank Of Some Fully Co-projective Clusters

It is an important problem in algebraic geometry to study the maximum rank of algebraic variety.This concept was often used in the context of tensors before it became an algebraic geometry language,such as a particular structure as tensors-structured rank [2].In this paper,we study the maximum x-rank of some nondegenerate completely intersecting projective varieties.By the projection dimension theorem,B ézout theorem and the basic properties of completely intersecting projective variety to calculate and study x-rank.Based on this,we finally give the judgment of the maximum X-rank of some special nondegenerate completely intersecting projective varieties.