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math.AG2026
Derived supergeometry and perfect obstruction theories on algebraic superstacks
Ugo Bruzzo, Daniel Hernández Ruipérez, Emanuele Pavia +1
We develop a deformation-theoretic framework for algebraic superstacks and apply it to the construction of perfect obstruction theories on moduli spaces of stable supermaps. In ord…
math.AG2025
Higher Koszul duality and -affineness
James Pascaleff, Emanuele Pavia, Nicolò Sibilla
In this paper we study -Koszul duality in the topological setting, and the closely related question of \emph{-affineness} for Betti stacks. The -Kosz…
math.AG2022
Mixed graded structure on Chevalley-Eilenberg functors
Emanuele Pavia
In this paper, we shall provide a purely -categorical construction of the mixed graded structure over Chevalley-Eilenberg complexes computing homology and cohomology of Lie…