Trim resolutions, stringy and Mather classes, and IC characteristic cycles
Algebraic Geometry
2025-12-10 v1
Abstract
We introduce trim resolutions of complex algebraic varieties, a strengthening of the notion of small resolution. We prove that the characteristic cycle of the intersection cohomology sheaf of a variety admitting a trim resolution is irreducible and that for such varieties the stringy and Chern-Mather classes coincide.
Cite
@article{arxiv.2512.07967,
title = {Trim resolutions, stringy and Mather classes, and IC characteristic cycles},
author = {Paolo Aluffi},
journal= {arXiv preprint arXiv:2512.07967},
year = {2025}
}
Comments
9 pages