78 citations · 260 across the 33 of their papers we have counts for
4 papers · 1 filter
Infinitesimal and square-zero extensions of simplicial algebras
Mauro Porta, Gabriele Vezzosi
We introduce the notions of infinitesimal extension and square-zero extension in the context of simplicial commutatie algebras. We next investigate their mutual relationship and we…
Quadratic forms and Clifford algebras on derived stacks
Gabriele Vezzosi
In this paper we present an approach to quadratic structures in derived algebraic geometry. We define derived n-shifted quadratic complexes, over derived affine stacks and over gen…
Derived Logarithmic Geometry I
Steffen Sagave, Timo Schürg, Gabriele Vezzosi
In order to develop the foundations of logarithmic derived geometry, we introduce a model category of logarithmic simplicial rings and a notion of derived log étale maps and use th…
A model structure on relative dg-Lie algebroids
Gabriele Vezzosi
In this Note, for the future purposes of relative formal derived deformation theory and of derived coisotropic structures, we prove the existence of a model structure on the catego…