3 citations · 4 across the 13 of their papers we have counts for
6 papers · 1 filter
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 of log-canonically polarized Gorenstein curves of genus one with distin…
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…
Obstructions to the existence of good moduli spaces of -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 of -stable curves. Our approach is based on…
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 of a feedforward ReLU neural network. We prove that in…
(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.
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…