Commuting Schemes of Upper Triangular Matrices and Representation Homology
Algebraic Geometry
2025-10-23 v3 Commutative Algebra
Algebraic Topology
Abstract
We establish a connection between generalised commuting schemes of higher genus , which are associated with a group scheme consisting of upper triangular unipotent matrices, and the representation homology of a Riemann surface with coefficients in the group . As an outcome, we provide a numerical criterion for determining whether commuting schemes form a complete intersection.
Cite
@article{arxiv.2403.13953,
title = {Commuting Schemes of Upper Triangular Matrices and Representation Homology},
author = {Guanyu Li},
journal= {arXiv preprint arXiv:2403.13953},
year = {2025}
}
Comments
Final version, 15 pages