The Scrollar Invariants of Curves Mapping to a Hirzebruch Surface
Algebraic Geometry
2026-02-10 v1 Commutative Algebra
Abstract
In this note we analyse the scrollar invariants of covers of that factor through the normalisation of a nodal curve in the -th Hirzebruch surface . We then give an existence theorem for nodal curves in having fixed class and singular locus.
Cite
@article{arxiv.2602.08902,
title = {The Scrollar Invariants of Curves Mapping to a Hirzebruch Surface},
author = {Riccardo Redigolo},
journal= {arXiv preprint arXiv:2602.08902},
year = {2026}
}