On maximum, typical and generic ranks

Grigoriy Blekherman, Zach Teitler

Research output: Contribution to journalArticlepeer-review

65 Scopus citations

Abstract

We show that for several notions of rank including tensor rank, Waring rank, and generalized rank with respect to a projective variety, the maximum value of rank is at most twice the generic rank. We show that over the real numbers, the maximum value of the real rank is at most twice the smallest typical rank, which is equal to the (complex) generic rank.

Original languageEnglish
Pages (from-to)1021-1031
Number of pages11
JournalMathematische Annalen
Volume362
Issue number3-4
DOIs
StatePublished - 3 Dec 2015

Keywords

  • 14N15
  • 15A21
  • 15A69

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