78 citations · 260 across the 33 of their papers we have counts for
37 papers
Infinitesimal derived foliations
Bertrand Toën, Gabriele Vezzosi
We introduce a notion of \emph{infinitesimal derived foliation}. We prove it is related to the classical notion of infinitesimal cohomology, and satisfies some formal integrability…
Derived Foliations
Bertrand Toen, Gabriele Vezzosi
This is a book on derived foliations, that are a generalisation of classical foliations in the context of derived geometry. The text starts with the basic definitions and construct…
A flag version of Beilinson-Drinfeld Grassmannian for surfaces
Benjamin Hennion, Valerio Melani, Gabriele Vezzosi
In this paper we define and study a generalization of the Belinson-Drinfeld Grassmannian to the case where the curve is replaced by a smooth projective surface , and the trivial…
Foliations and stable maps
Bertrand Toën, Gabriele Vezzosi
This paper is part of an ongoing series of works on the study of foliations on algebraic varieties via derived algebraic geometry. We focus here on the specific case of globally de…
Algebraic foliations and derived geometry II: the Grothendieck-Riemann-Roch theorem
Bertrand Toën, Gabriele Vezzosi
This is the second of series of papers on the study of foliations in the setting of derived algebraic geometry based on the central notion of derived foliation. We introduce sheaf-…
Algebraic foliations and derived geometry: the Riemann-Hilbert correspondence
Bertrand Toën, Gabriele Vezzosi
This is the first in a series of papers about foliations in derived geometry. After introducing derived foliations on arbitrary derived stacks, we concentrate on quasi-smooth and r…