14 citations · 38 across the 10 of their papers we have counts for
14 papers
Quasi-coherent sheaves and D-modules in Derived Differential Supergeometry
David Carchedi
Derived geometry provides powerful tools to handle non-transverse intersections and singular moduli problems arising in geometry and theoretical physics. While derived algebraic ge…
Derived Manifolds as Differential Graded Manifolds
David Carchedi
On one hand, together with Pelle Steffens, we recently characterized the infinity category of derived manifolds up to equivalence by a universal property. On the other hand, it is…
On the profinite homotopy type of log schemes
David Carchedi, Sarah Scherotzke, Nicolò Sibilla +1
We complete the program, initiated in [6], to compare the many different possible definitions of the underlying homotopy type of a log scheme. We show that, up to profinite complet…
On the Universal Property of Derived Manifolds
David Carchedi, Pelle Steffens
It is well known that any model for derived manifolds must form a higher category. In this paper, we propose a universal property for this higher category, classifying it up to equ…
Relative Étale Realizations of Motivic Spaces and Dwyer-Friedlander -Theory of Noncommutative Schemes
David Carchedi, Elden Elmanto
In this paper, we construct a refined, relative version of the étale realization functor of motivic spaces, first studied by Isaksen and Schmidt. Their functor goes from the $\inft…
On the étale homotopy type of higher stacks
David Carchedi
A new approach to étale homotopy theory is presented which applies to a much broader class of objects than previously existing approaches, namely it applies not only to all schemes…