From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
Obstructions to the existence of good moduli spaces of -stable curves
Davide Gori, Ludvig Modin, Michele Pernice
The paper investigates why certain open substacks of the moduli stack of A_r‑stable curves fail to have separated good moduli spaces, and constructs a maximal open substack that do…
math.AG2026
The local geometry of the stack of -stable curves
Davide Gori, Ludvig Modin, Michele Pernice
In this paper we study the local geometry of the stack of pointed -stable curves. In particular, we analyze the deformation theory of -stable curves and their automorphis…
math.AG2025
Moduli spaces for -strata and non-reductive quotients
Ludvig Modin
We give a new proof of the -theorem of Bérczi, Doran, Hawes and Kirwan on the existence of geometric quotients for actions of graded unipotent groups in terms of stacks o…