From the 1 of 7 linked papers with an AI index.
7 papers
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
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…
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…
On the fibers and semi-algebraicity of ReLU neuromanifolds
Axel Flinth, Stefano Mereta, Michele Pernice
We study the semi-algebraicity of the neuromanifold of a feedforward ReLU neural network and its symmetries. We prove that is not…
(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.
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…