Degenerations of orbifold curves as noncommutative varieties
Algebraic Geometry
2026-01-14 v2
Abstract
Boundary points on the moduli space of pointed curves corresponding to collisions of marked points have modular interpretations as degenerate curves. In this paper, we study degenerations of orbifold projective curves corresponding to collisions of stacky points from the point of view of noncommutative algebraic geometry.
Keywords
Cite
@article{arxiv.2401.14798,
title = {Degenerations of orbifold curves as noncommutative varieties},
author = {Tarig Abdelgadir and Daniel Chan and Shinnosuke Okawa and Kazushi Ueda},
journal= {arXiv preprint arXiv:2401.14798},
year = {2026}
}
Comments
18 pages. v2: revised following the suggestions of the referee