The global derived period map

Natale, Carmelo Di; Holstein, Julian J.

doi:10.1016/j.aim.2019.06.022

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Dg Analytic Spaces and Stacks1

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2020

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Cited by 2 publications

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“…Artin) n-hypergroupoid in DG + Aff T , and this construction preserves hypercovers, giving a functor on n-stacks. The details follow exactly as in [DH,Appendix A.4]. 4.4.…”

Section: Dg Analytic Spaces and Stacksmentioning

confidence: 99%

A differential graded model for derived analytic geometry

Pridham¹

2020

Advances in Mathematics

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We give a formulation for derived analytic geometry built from commutative differential graded algebras equipped with entire functional calculus on their degree 0 part, a theory well-suited to developing shifted Poisson structures and quantisations. In the complex setting, we show that this formulation recovers equivalent derived analytic spaces and stacks to those coming from Lurie's structured topoi. In non-Archimedean settings, there is a similar comparison, but for derived dagger analytic spaces and stacks, based on overconvergent functions.

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“…Artin) n-hypergroupoid in DG + Aff T , and this construction preserves hypercovers, giving a functor on n-stacks. The details follow exactly as in [DH,Appendix A.4]. 4.4.…”

Section: Dg Analytic Spaces and Stacksmentioning

confidence: 99%