3 papers
math.AG2026
The Localization Theorem for the Motivic Homotopy Theory of Complex Analytic Stacks and other Geometric Settings
Roy Magen
We prove the analog of the Morel-Voevodsky localization theorem over complex analytic stacks, which is used in arXiv:2511.09371 to establish a 6-functor formalism of complex analyt…
math.AG2026
Geometric Criteria for 6-Functor Formalisms in the Setting of Pullback Formalisms
Roy Magen
In this article, we study criteria for producing six-functor formalisms and morphisms between them. One notable application is that the motivic homotopy theory of algebraic stacks…
math.AG2025
Universal Properties and Constructions of Pullback Formalisms in Terms of Invariance and Stability
Roy Magen
In this article, we introduce fundamental notions and results about pullback formalisms, building on work of Drew-Gallauer. Our main application is producing a pullback formalism $…