2 problems

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de Rham mapping stacks of smooth projective varieties are geometric
Let $T$ be a very presentable geometric $n$ -stack, and let $X$ be a smooth projective variety. Write $X_{DR}$ for its de Rham formal stack. The de Rham mapping-stack conjecture. Th…
Conjectureopenalgebraic-stacks de-rham-geometry mapping-stacksarXiv posted 2 days ago
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The conjecture on automorphisms and the essential image for de Rham prestacks
Let $\mathcal{Z}$ be a quasi-compact algebraic stack locally of finite type with an affine diagonal, and let $\mathcal{Z}_{\mathrm{dR}}$ denote its de Rham prestack. Automorphism-g…
Conjectureopen1-affineness algebraic-stacks de-rham-geometryarXiv posted 2 days ago

de Rham mapping stacks of smooth projective varieties are geometric