Zobrazeno 1 - 10
of 96
pro vyhledávání: '"Toen, B."'
Autor:
Toën, B., Vezzosi, G.
Building on recent results by A. Blanc, M. Robalo and the authors, we present an $\ell$-adic trace formula for smooth and proper dg-categories over a base $\mathbb{E}_{\infty}$-algebra $B$. We also give a variant when $B$ is only an $\mathbb{E}_2$-al
Externí odkaz:
http://arxiv.org/abs/1605.08941
Publikováno v:
Journal of Topology, Volume 10, Issue 2, June 2017, Pages 483-584
This paper is the sequel to [PTVV] (IHES Vol. 117, 2013). We develop a general and flexible context for differential calculus in derived geometry, including the de Rham algebra and polyvector fields. We then introduce the formalism of formal derived
Externí odkaz:
http://arxiv.org/abs/1506.03699
Autor:
Toën, B., Vaquié, M.
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" in saturated dg-categories. We show that given such a system on a dg-c
Externí odkaz:
http://arxiv.org/abs/1504.07748
Autor:
Toën, B.
The main theme of this work is the study of the operations that naturally exist on moduli spaces of maps $Map(S,X)$, also called the space of branes of $X$ with respect $S$. These operations will be constructed as operations on the (quasi-coherent) d
Externí odkaz:
http://arxiv.org/abs/1307.0405
Autor:
Toën, B.
Let $f : X \longrightarrow Y$ be a proper and local complete intersection morphism of schemes. We prove that $\mathbb{R}f_{*}$ preserves perfect complexes, without any projectivity or noetherian assumptions. This provides a different proof of a theor
Externí odkaz:
http://arxiv.org/abs/1210.2827
This is the first of a series of papers about \emph{quantization} in the context of \emph{derived algebraic geometry}. In this first part, we introduce the notion of \emph{$n$-shifted symplectic structures}, a generalization of the notion of symplect
Externí odkaz:
http://arxiv.org/abs/1111.3209
Autor:
Toen, B.
We introduce a notion of derived Azumaya's algebras over rings and schemes. We prove that any such algebra $B$ on a scheme $X$ provides a class $\phi(B)$ in $H^{1}_{et}(X,\mathbb{Z})\times H^{2}_{et}(X,\mathbb{G}_{m})$. We prove that for $X$ a quasi-
Externí odkaz:
http://arxiv.org/abs/1002.2599
Autor:
Toen, B.
We prove two flat descent statements for Artin n-stacks. We first show that an n-stack for the etale topology which is an Artin n-stack in the sense of HAGII, is also an n-stack for the fppf topology. Moreover, an n-stack for the fppf topology which
Externí odkaz:
http://arxiv.org/abs/0911.3554
Autor:
Toen, B., Vezzosi, G.
This is a companion paper our previous submission "\infty-categories monoidales rigides et caracteres de Chern", in which we give a comparison between functions on the derived loop space of a smooth scheme of caracteristic zero, and its algebraic de
Externí odkaz:
http://arxiv.org/abs/0904.3256
Autor:
Toen, B., Vezzosi, G.
The purpose of this work is to provide details about the construction of the Chern character for categorical sheaves mentioned in our previous work "Chern character, loop spaces and derived algebraic geometry". For this, we introduce and study the no
Externí odkaz:
http://arxiv.org/abs/0903.3292