A note on the maximal rank

2020/07/29 by Bernardi, Alessandra, Staffolani, Reynaldo
#14N07 #15A69 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.14760

Abstract

We give an upper-bound for the X-rank of points with respect to a non-degenerate irreducible variety X in the case that sub-generic X-rank points generate a hypersurface. We give examples where this bound is sharp and it improves the existing ones.

Related

• On Maximum, Typical and Generic Ranks
• Ranks on the boundaries of secant varieties
• Real Rank with Respect to Varieties
• Generic Hypersurface Singularities
• Typical and Admissible ranks over fields