78 citations · 200 across the 18 of their papers we have counts for
18 papers
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…
Le problème de la schématisation de Grothendieck revisité
Bertrand Toën
The objective of this work is to reconsider the schematization problem of [6], with a particular focus on the global case over Z. For this, we prove the conjecture [Conj. 2.3.6][15…
A Universal HKR Theorem
Tasos Moulinos, Marco Robalo, Bertrand Toën
In this work we study the failure of the HKR theorem over rings of positive and mixed characteristic. For this we construct a filtered circle interpolating between the usual topolo…
Moduli of flat connections on smooth varieties
Tony Pantev, Bertrand Toën
We study the moduli functor of flat bundles on smooth, possibly non-proper, algebraic variety (over a field of characteristic zero). For this we introduce the notion of \emph{f…
Trace and Kunneth formulas for singularity categories and applications
Bertrand Toën, Gabriele Vezzosi
We present an -adic trace formula for saturated and admissible dg-categories over a base monoidal dg-category. Moreover, we prove Künneth formulas for dg-category of singular…
Motivic Realizations of Singularity Categories and Vanishing Cycles
A. Blanc, M. Robalo, B. Töen +1
In this paper we establish a precise comparison between vanishing cycles and the singularity category of Landau-Ginzburg models over a complete discrete valuation ring. By using no…