Characteristic-dependent linear rank inequalities via complementary vector spaces

@article{Pea2019CharacteristicdependentLR,
  title={Characteristic-dependent linear rank inequalities via complementary vector spaces},
  author={Victor Pe{\~n}a and Humberto Sarria},
  journal={Journal of Information and Optimization Sciences},
  year={2019},
  volume={42},
  pages={345 - 369}
}
Abstract A characteristic-dependent linear rank inequality is a linear inequality that holds by ranks of subspaces of a vector space over a finite field of determined characteristic, and does not in general hold over other characteristics. In this paper, we produce new characteristic- dependent linear rank inequalities by an alternative technique to the usual Dougherty’s inverse function method [9]. We take up some ideas of Blasiak [4], applied to certain complementary vector spaces, in order… 

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