Representability of derived moduli stacks for nonlinear elliptic PDE solutions follows from an Artin-Lurie theorem after introducing C^∞-bornological rings that embed into derived bornological geometry.
Non-archimedean analytic geometry as relative algebraic geometry
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
representative citing papers
Higher algebra notions are generalized to t-structured tensor triangulated ∞-categories, with analogues of Lazard's theorem, Cohn localizations, almost ring theory, étale rigidity, and a moduli characterization under projective rigidity.
A canonical triangle functor between the derived categories of complete and regular LB-spaces is an equivalence, providing homological evidence that the two classes share the same homological algebra.
citing papers explorer
-
A Bornological Perspective on the Representability of Derived Moduli Stacks of Solutions to PDEs
Representability of derived moduli stacks for nonlinear elliptic PDE solutions follows from an Artin-Lurie theorem after introducing C^∞-bornological rings that embed into derived bornological geometry.
-
Higher algebra in $t$-structured tensor triangulated $\infty$-categories
Higher algebra notions are generalized to t-structured tensor triangulated ∞-categories, with analogues of Lazard's theorem, Cohn localizations, almost ring theory, étale rigidity, and a moduli characterization under projective rigidity.
-
A homological approach to (Grothendieck's) completeness problem for regular LB-spaces
A canonical triangle functor between the derived categories of complete and regular LB-spaces is an equivalence, providing homological evidence that the two classes share the same homological algebra.
- Ind-Banach approach to Grothendieck duality in Rigid-analytic geometry