Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Vezzosi, Gabriele"'
Autor:
Toën, Betrand, Vezzosi, Gabriele
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 properties. We also provide some hints on how infinitesimal derived f
Externí odkaz:
http://arxiv.org/abs/2305.13010
Autor:
Toen, Bertrand, Vezzosi, Gabriele
We study integrability results for derived foliations in the holomorphic context. We prove a global integrability theorem by flat groupoids, as well as global algebraic integrability in the presence of a compact leaf with finite holonomy groups. Thes
Externí odkaz:
http://arxiv.org/abs/2305.08212
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 $X$, and the trivialization data are given on loci suitably associated to a nonlinear flag
Externí odkaz:
http://arxiv.org/abs/2210.04798
Autor:
Toën, Bertrand, Vezzosi, Gabriele
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 defined vector fields and the global behaviour of their algebraic integr
Externí odkaz:
http://arxiv.org/abs/2202.09174
Autor:
Toën, Bertrand, Vezzosi, Gabriele
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-like coefficients for derived foliations, called quasi-coherent crysta
Externí odkaz:
http://arxiv.org/abs/2007.09251
Autor:
Toën, Bertrand, Vezzosi, Gabriele
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 rigid derived foliations on smooth complex algebraic varieties and on t
Externí odkaz:
http://arxiv.org/abs/2001.05450
Autor:
Toën, Bertrand, Vezzosi, Gabriele
We present an $\ell$-adic trace formula for saturated and admissible dg-categories over a base monoidal dg-category. Moreover, we prove K\"unneth formulas for dg-category of singularities, and for inertia-invariant vanishing cycles. As an application
Externí odkaz:
http://arxiv.org/abs/1710.05902
Autor:
Antieau, Benjamin, Vezzosi, Gabriele
We prove a Hochschild-Kostant-Rosenberg decomposition theorem for smooth proper schemes $X$ in characteristic $p$ when $\dim X\leq p$. The best known previous result of this kind, due to Yekutieli, required $\dim X
Externí odkaz:
http://arxiv.org/abs/1710.06039
Autor:
Toën, Bertrand, Vezzosi, Gabriele
This text is based on a talk by the first named author at the first congress of the SMF (Tours, 2016). We present Bloch's conductor formula, which is a conjectural formula describing the change of topology in a family of algebraic varieties when the
Externí odkaz:
http://arxiv.org/abs/1701.00455
Autor:
Maggesi, Marco, Vezzosi, Gabriele
In this short note, we simply collect some known results about representing algebraic cycles by various kind of "nice" (e.g. smooth, local complete intersection, products of local complete intersection) algebraic cycles, up to rational equivalence. W
Externí odkaz:
http://arxiv.org/abs/1612.04570