Michele Pernice

activity

20202026

most citedStable cuspidal curves and the integral Chow ring of

M_{2, 1}

3 citations · 4 across the 13 of their papers we have counts for

collaborators

15 papers

math.AG2026

The unbearable projectivity of being a good moduli space of Gorenstein curves of genus one with non-colliding markings

Luca Battistella, Andrea Di Lorenzo, Michele Pernice

We classify all open substacks admitting a proper good moduli space inside the stack $G_{1, n}$ of log-canonically polarized Gorenstein curves of genus one with $n$ distin…

math.AG2026

K-theory of Weighted Blowups

Veronica Arena, Alessio Cela, Alberto Landi +1

We compute the K-theory of weighted blowups of smooth stacks satisfying the resolution property along smooth centers. As an application, we determine the K-theory of the stack of s…

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

On the identifiability and semi-algebraicity of ReLU neuromanifolds

Axel Flinth, Stefano Mereta, Michele Pernice

We study several aspects of the semi-algebraicity of the neuromanifold $M_{d}$ of a feedforward ReLU neural network. We prove that $M_{d}$ in…

math.AG2026

(Quasi-)affineness of perverse character varieties

Enrico Lampetti, Michele Pernice

We show that perverse character varieties are (quasi-)affine. We do this in a purely stack-theoretic fashion, by exhibiting enough sections of the structure sheaf.

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.AG2023

A criterion for smooth weighted blow-downs

Veronica Arena, Andrea Di Lorenzo, Giovanni Inchiostro +3

We establish a criterion for determining when a smooth Deligne-Mumford stack is a weighted blow-up. More precisely, given a smooth Deligne-Mumford stack $X$ and a Cartier…

math.AG2023

Good Moduli Spaces in Derived Algebraic Geometry

Eric Ahlqvist, Jeroen Hekking, Michele Pernice +1

We develop a theory of good moduli spaces for derived Artin stacks, which naturally generalizes the classical theory of good moduli spaces introduced by Alper. As such, many of the…

math.AG2023

The (almost) integral Chow ring of $M_{3}^{7}$

Michele Pernice

This paper is the third in a series of four papers aiming to describe the (almost integral) Chow ring of $M_{3}$ , the moduli stack of stable curves of genus $3$ .…

math.AG2023

Hyperelliptic $A_{r}$ -stable curves (and their moduli stack)

Michele Pernice

This paper is the second in a series of four papers aiming to describe the (almost integral) Chow ring of $\Mbar_3$, the moduli stack of stable curves of genus $3$ . In this paper,…

math.AG2023

The moduli stack of $A_{r}$ -stable curves

Michele Pernice

This paper is the first in a series of four papers aiming to describe the (almost integral) Chow ring of $M ˉ_{3}$ , the moduli stack of stable curves of genus $3$ . In t…

math.AG2022

$A_{r}$ -stable curves and the Chow ring of $M_{3}$

Michele Pernice

In this work, we introduce the moduli stack $M_{g, n}^{r}$ of $n$ -pointed, $A_{r}$ -stable curves of genus $g$ and use it to compute the Chow ring of $\overline{\ma…

math.AG2022★ 1 cited

The derived Brauer map via twisted sheaves

Guglielmo Nocera, Michele Pernice

Let $X$ be a quasicompact quasiseparated scheme. The collection of derived Azumaya algebras in the sense of Toën forms a group, which contains the classical Brauer group of $X$ and…

math.AG2021★ 3 cited

Stable cuspidal curves and the integral Chow ring of $M_{2, 1}$

Andrea Di Lorenzo, Michele Pernice, Angelo Vistoli

In this paper we introduce the moduli stack $M_{g, n}$ of $n$ -marked stable at most cuspidal curves of genus $g$ and we use it to determine the integral Chow r…

math.AG2020

The integral Chow ring of the stack of 1-pointed hyperelliptic curves

Michele Pernice

In this paper we give a complete description of the integral Chow ring of the stack $H_{g, 1}$ of 1-pointed hyperelliptic curves, lifting relations and generators from the…

The unbearable projectivity of being a good moduli space of Gorenstein curves of genus one with non-colliding markings

K-theory of Weighted Blowups

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

On the identifiability and semi-algebraicity of ReLU neuromanifolds

(Quasi-)affineness of perverse character varieties

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

A criterion for smooth weighted blow-downs

Good Moduli Spaces in Derived Algebraic Geometry

The (almost) integral Chow ring of M37​

Hyperelliptic Ar​-stable curves (and their moduli stack)

The moduli stack of Ar​-stable curves

Ar​-stable curves and the Chow ring of M3​

The derived Brauer map via twisted sheaves

Stable cuspidal curves and the integral Chow ring of M2,1​

The integral Chow ring of the stack of 1-pointed hyperelliptic 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

The (almost) integral Chow ring of $M_{3}^{7}$

Hyperelliptic $A_{r}$ -stable curves (and their moduli stack)

The moduli stack of $A_{r}$ -stable curves

$A_{r}$ -stable curves and the Chow ring of $M_{3}$

Stable cuspidal curves and the integral Chow ring of $M_{2, 1}$