Degenerations of orbifold curves as noncommutative varieties

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.

18 pages. v2: revised following the suggestions of the referee