17 citations · 67 across the 17 of their papers we have counts for
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Supermoduli spaces are non-projected in every genus
Mauricio Corrêa, Ron Donagi, Simone Noja
We prove that, for every genus , the primary obstruction of each parity component of the moduli superstack of smooth unpunctured super Riemann surfaces is nonzero, both al…
Schottky versus super Schottky in genus 4
Ron Donagi, Simone Noja
The study of super Riemann surfaces and their moduli led Witten and Felder, Kazhdan and Polishchuk to ask what is the smallest such that the -th power of the Schottky ideal…
Genus 4 Supermoduli Space Is Not Projected
Ron Donagi, Simone Noja
The supermoduli stack , parametrizing smooth unpunctured super Riemann surfaces of genus , is known to be non-projected for . We extend this result to…
Shifted Poisson unfoldings and quantum anomalies
Mauricio Corrêa, Simone Noja
Families of classical field theories often depend on geometric parameters. A basic question is whether the corresponding classical observables can be compared by flat parallel tran…
Compactified supermoduli space is almost never projected
Mauricio Corrêa, Simone Noja
We settle the projectedness problem for the compactified unpunctured supermoduli stack in every genus at least two. In genus two, the odd component is split, whereas the even compo…
Formal moduli and the splitting theory of supermanifolds
Mauricio Corrêa, Simone Noja
We develop a formal moduli theory for the splitting problem of complex supermanifolds. Starting from Green's obstruction tower, we construct a finite-step filtered dg Lie algebra w…
A categorical and algebro-geometric theory of localization
Mauricio Corrêa, Simone Noja
We study cohomology classes whose restriction to the complement of a closed subset vanishes. The localisation sequence shows that their lifts to cohomology with support form a tors…