16 papers
Invisible singularities in complex algebraic geometry
Maurício Corrêa, János Kollár, Stefan Schreieder +1
We construct morphisms between smooth complex projective varieties that have singular fibers, but look topologically smooth. We use this to give negative answers to the following f…
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…
Homology fiber bundles of varieties, that are not topological fiber bundles
MaurÃcio Corrêa, Maurício Corrêa, János Kollár +1
We construct flat, projective morphisms that are -homology fiber bundles, have a smooth total space, but are not smooth. This disproves one of the conjectures of the sec…
Foliated and Mather-Jacobian discrepancies via tangential arcs
MaurÃcio Corrêa
This article develops a tangential arc-space approach to foliated discrepancies for logarithmic simple co-rank one foliations on threefolds, relative to a fixed invariant normal cr…
A categorical and algebro-geometric theory of localization
Mauricio Corrêa, Simone Noja
We develop a categorical and algebro-geometric theory of localisation for cohomological theories with open--closed recollement. A class whose restriction to the open complement van…
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…