Ludvig Modin

collaborators

3 papers

math.AG2026

Obstructions to the existence of good moduli spaces of $A_{r}$ -stable curves

Davide Gori, Ludvig Modin, Michele Pernice

We study obstructions to the existence of separated good moduli spaces for open substacks of the moduli stack $M_{g, n}^{r}$ of $A_{r}$ -stable curves. Our approach is based on…

math.AG2026

The local geometry of the stack of $A_{r}$ -stable curves

Davide Gori, Ludvig Modin, Michele Pernice

In this paper we study the local geometry of the stack of pointed $A_{r}$ -stable curves. In particular, we analyze the deformation theory of $A_{r}$ -stable curves and their automorphis…

math.AG2025

Moduli spaces for $Θ$ -strata and non-reductive quotients

Ludvig Modin

We give a new proof of the $U^$ -theorem of Bérczi, Doran, Hawes and Kirwan on the existence of geometric quotients for actions of graded unipotent groups in terms of stacks of…

Obstructions to the existence of good moduli spaces of Ar​-stable curves

The local geometry of the stack of Ar​-stable curves

Moduli spaces for Θ-strata and non-reductive quotients

Obstructions to the existence of good moduli spaces of $A_{r}$ -stable curves

The local geometry of the stack of $A_{r}$ -stable curves

Moduli spaces for $Θ$ -strata and non-reductive quotients