Monodromy and vanishing cycles for complete intersection curves
Algebraic Geometry
2026-01-07 v3 Geometric Topology
Abstract
We compute the topological monodromy of every family of complete intersection curves. Like in the case of plane curves previously treated by the second-named author, we find the answer is given by the -spin mapping class group associated to the maximal root of the adjoint line bundle. Our main innovation is a suite of tools for studying the monodromy of sections of a tensor product of very ample line bundles in terms of the monodromy of sections of the factors, allowing for an induction on (multi-)degree.
Cite
@article{arxiv.2408.06479,
title = {Monodromy and vanishing cycles for complete intersection curves},
author = {Ishan Banerjee and Nick Salter},
journal= {arXiv preprint arXiv:2408.06479},
year = {2026}
}
Comments
Revised version incorporating further referee comments