On the geometry of geometric rank Academic Article uri icon

abstract

  • We make a geometric study of the Geometric Rank of tensors recently introduced by Kopparty et al. Results include classification of tensors with degenerate geometric rank in $C^3otimes C^3otimes C^3$, classification of tensors with geometric rank two, and showing that upper bounds on geometric rank imply lower bounds on tensor rank.

published proceedings

  • Alg. Number Th.

author list (cited authors)

  • Geng, R., & Landsberg, J. M.

complete list of authors

  • Geng, Runshi||Landsberg, JM

publication date

  • December 2020