Guanyu Li
Published 2024-03-20Version 1
We establish a connection between commuting varieties $C_g(G)$ (potentially of higher genus), which are associated with a group scheme $G$ consisting of upper triangular matrices, and the representation homology $HR_*(\Sigma_g,G)$ of a Riemann surface $\Sigma_g$ with coefficients in the group $G$. As an outcome, we provide a numerical criterion for determining whether commuting varieties $C(U_n)$ form a complete intersection for groups consisting of upper triangular unipotent matrices.
On the Irreducibility of Commuting Varieties of Nilpotent Matrices
Conjectures on spectral numbers for upper triangular matrices and for singularities
Effective models of group schemes
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