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- W2941481808 abstract "The group $G = GL_r(k) times (k^times)^n$ acts on $mathbf{A}^{r times n}$, the space of $r$-by-$n$ matrices: $GL_r(k)$ acts by row operations and $(k^times)^n$ scales columns. A matrix orbit closure is the Zariski closure of a point orbit for this action. We prove that the class of such an orbit closure in $G$ equivariant $K$-theory of $mathbf{A}^{r times n}$ is determined by the matroid of a generic point. We present two formulas for this class. The key to the proof is to show that matrix orbit closures have rational singularities." @default.
- W2941481808 created "2019-05-03" @default.
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- W2941481808 date "2019-04-22" @default.
- W2941481808 modified "2023-09-27" @default.
- W2941481808 title "Equivariant K-theory classes of matrix orbit closures." @default.
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