D. Gori

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moduli spaces 1 obstructions 1 separatedness 1 stable curves 1 stack theory 1

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math.AG2026

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

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

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

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

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