3 papers
math.AG2026
A Deep Dive Into the Tangent Category of Schemes
Geoff Vooys
In this largely expository paper we provide a deep and explicit exploration and exposition of the tangent structure on the category of schemes whose tangent fun…
math.CT2025
Important Classes of Morphisms and the Relative Cotangent Sequence in Tangent Categories
Jean-Simon Pacaud Lemay, Geoff Vooys
In this paper we provide a deep and systematic study of what it means to be an immersion, a submersion, a local diffeomorphism, and unramified in a tangent category. We also give a…
math.CT2025
Pseudolimits for Tangent Categories with Applications to Equivariant Algebraic and Differential Geometry
Dorette Pronk, Geoff Vooys
In this paper we show that if is a category and if is a pseudofunctor such that for each object of $\m…