78 citations · 242 across the 28 of their papers we have counts for
30 papers
Generalized local jacobians and commutative group stacks
Bertrand Toen
In [CS01, Page 109] Grothendieck sketches the construction of a complex J_*(X) or commutative pro-algebraic groups, associated to a smooth variety X, and for which each J_i(X) is a…
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…
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-…
Poisson geometry of the moduli of local systems on smooth varieties
Tony Pantev, Bertrand Toen
We study the moduli of G-local systems on smooth but not necessarily proper complex algebraic varieties. We show that, when suitably considered as derived algebraic stacks, they ca…
Systèmes de points dans les dg-catégories saturées
B. Toën, M. Vaquié
In this work we consider the question of realizing triangulated dg-categories by derived categories of algebraic varieties. For this, we introduce the notion of "system of points"…