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Degeneration order of $3\times 3$ nilpotent matrix tuples

Representation Theory 2026-04-27 v1 Algebraic Geometry
Authors: Mátyás Domokos , Botond Miklósi
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Abstract

The degeneration order of simultaneous similarity classes of 3×33\times 3 nilpotent matrix tuples is determined, and is shown to be given by rank conditions.

Keywords

nilpotent matrices degeneration order rank conditions matrix tuples

Cite

@article{arxiv.2604.22609,
  title  = {Degeneration order of $3\times 3$ nilpotent matrix tuples},
  author = {Mátyás Domokos and Botond Miklósi},
  journal= {arXiv preprint arXiv:2604.22609},
  year   = {2026}
}

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