3 papers
math.AG2026
Residues and Gorenstein Contractions of Genus One Curves
Adrian Neff, Jonathan Wise
Let be a genus one nodal curve over a local artinian base and let be a proper subcurve of genus one. We define residues for curves over local artinian rings, then define ge…
math.AG2026
Vector bundles on Olsson fans
Luca Battistella, Francesca Carocci, Jonathan Wise
Artin fans are algebro-geometric incarnations of cone complexes. We study weakly convex Olsson fans, generalising Artin fans in two ways: first, they admit lineality spaces, thus i…
math.AG2024
Images of abelian schemes
Jeff Achter, Sebastian Casalaina-Martin, Jonathan Wise
We provide some conditions for the image of a morphism of abelian schemes to again be an abelian scheme. For context, in characteristic 0, the image is always an abelian scheme; in…