Aldo Witte

activity

20232026

collaborators

4 papers

math.DG2026

The derived category of a generalized complex torus

Patrick Antweiler, Vicente Cortés, Julian Holstein +2

For any translation invariant generalized complex structure J on a torus we construct the derived category D(J) generalizing the derived category of coherent sheaves on a complex t…

math.DG2026

Polynomial degeneration and the Poisson geometry of truncated polynomials

Francis Bischoff, Aldo Witte

We develop a formalism for studying geometric structures that degenerate to polynomial order along a hypersurface $W \subset M$ . We then demonstrate it in the study of Poisson geom…

math.DG2025

$b^{k}$ -algebroids and the variety of foliation jets

Francis Bischoff, Álvaro del Pino, Aldo Witte

We introduce and classify singular foliations of $b^{k + 1}$ -type, which formalize the properties of vector fields that are tangent to a submanifold $W \subset M$ to order $k$ . When…

math.DG2023

Jets of foliations and $b^{k}$ -algebroids

Francis Bischoff, Álvaro del Pino, Aldo Witte

In this article, we introduce and study singular foliations of $b^{k}$ -type. These singular foliations formalize the properties of vector fields that are tangent to order $k$ along a…

The derived category of a generalized complex torus

Polynomial degeneration and the Poisson geometry of truncated polynomials

bk-algebroids and the variety of foliation jets

Jets of foliations and bk-algebroids

$b^{k}$ -algebroids and the variety of foliation jets

Jets of foliations and $b^{k}$ -algebroids