A Geometric Description of the Sets of Palindromic and Alternating Matrix Pencils with Bounded Rank

The sets of $n\times n$ $\top$-palindromic, $\top$-antipalindromic, $\top$-even, and $\top$-odd matrix pencils with rank at most $r< n$ are algebraic subsets of the set of $n\times n$ matrix pencil...

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