ScalingStacks

Proposition 5.13 [036M]

Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.

Complete original source context · Original author HTML

Proposition 5.13

Let α∈Acp,q​(Xan)\alpha\in A^{p,q}_{c}({X^{\rm an}}) be a differential form with max⁡(p,q)=dim(X)\max(p,q)=\dim(X). Then there is a very affine open subset UU of XX such that supp⁡(α)⊂Uan{\rm supp}(\alpha)\subset{U^{\rm an}} and such that α\alpha is given on Uan{U^{\rm an}} by a superform αU∈Acp,q​(Trop⁡(U))\alpha_{U}\in A_{c}^{p,q}({\rm Trop}(U)).

Original mathematics by the credited authors. Source-backed reader collection; mathematical self-containment is not assessed.