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Uniform stability of ranks

Guy Moshkovitz, Daniel G. Zhu

Abstract

Chen and Ye recently proved that the analytic rank of tensors is stable under field extensions, assuming a fixed base field. Using a more careful analysis, we show that this assumption is unnecessary.

Uniform stability of ranks

Abstract

Chen and Ye recently proved that the analytic rank of tensors is stable under field extensions, assuming a fixed base field. Using a more careful analysis, we show that this assumption is unnecessary.

Paper Structure

This paper contains 3 sections, 14 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Proofs

Theorems & Definitions (7)

  • proof
  • proof
  • proof
  • proof
  • proof
  • proof
  • proof : Proof of \ref{['thm:qr']}