From the 1 of 6 linked papers with an AI index.
6 papers
Tannakian reconstruction in derived algebraic geometry
Joshua Mundinger, Shubhankar Sahai
We prove analogues of Tannakian reconstruction theorems of Lurie and Bhatt--Halpern-Leistner in \emph{derived} algebraic geometry, where the basic geometric objects are spectra of…
Dieudonné theory for -smooth group schemes
Casimir Kothari, Joshua Mundinger
The paper defines n‑smooth commutative group schemes over Fₚ‑algebras as Frobenius analogues of n‑truncated Barsotti–Tate groups, shows they correspond to a subcategory of Dieudonn…
On the differentials of the Hochschild-Kostant-Rosenberg spectral sequence
Joshua Mundinger
The Hochschild-Kostant-Rosenberg theorem implies the existence of a spectral sequence computing the Hochschild homology of a variety in terms of the cohomology of differential form…
Cartier duality via Mittag-Leffler modules
Dima Arinkin, Joshua Mundinger
We construct the Cartier duality equivalence for affine commutative group schemes whose coordinate ring is a flat Mittag-Leffler module over an arbitrary base ring . The dua…
Poisson Manifolds of Compact Types with an Appendix by Joshua Mundinger
Marius Crainic, Rui Loja Fernandes, David MartÃnez Torres +1
We develop the theory of Poisson and Dirac manifolds of compact types, a broad generalization in Poisson and Dirac geometry of compact Lie algebras and Lie groups. We establish key…
Twisting the Infinitesimal Site
Joshua Mundinger
We classify twistings of Grothendieck's differential operators on a smooth variety in prime characteristic . We prove isomorphism classes of twistings are in bijection with…