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arXiv · 1202.2813

Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators

Justyna Kosakowska·Markus Schmidmeier
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Abstract

We study geometric properties of varieties associated with invariant subspaces of nilpotent operators. There are reductive algebraic groups acting on these varieties. We give dimensions of orbits of these actions. Moreover, a combinatorial characterization of the partial order given by degenerations is described.

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Justyna Kosakowska, Markus Schmidmeier. 2012-02-13. Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators. https://doi.org/10.1090/s0002-9947-2014-06206-5

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