• Corpus ID: 245424683

Syzygies, constant rank, and beyond

  title={Syzygies, constant rank, and beyond},
  author={Marc Harkonen and Lisa Nicklasson and Bogdan Raiță},
We study linear PDE with constant coefficients. The constant rank condition on a system of linear PDEs with constant coefficients is often used in the theory of compensated compactness. While this is a purely linear algebraic condition, the nonlinear algebra concept of primary decomposition is another important tool for studying such system of PDEs. In this paper we investigate the connection between these two concepts. From the nonlinear analysis point of view, we make some progress in the… 
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