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Theorems A and B for dagger quasi-Stein spaces

2018; Oxford University Press; Volume: 70; Issue: 2 Linguagem: Inglês

10.1093/qmath/hay058

1464-3847

Federico Bambozzi,

Algebraic structures and combinatorial models

Abstract In this article, we use the homological methods of the theory of quasi-abelian categories and results from functional analysis to prove Theorems A and B for (a broad sub-class of) dagger quasi-Stein spaces. In particular, we show how to deduce these theorems from the vanishing, under certain hypothesis, of the higher derived functors of the projective limit functor. Our strategy of the proof generalizes and puts in a more formal framework Kiehl’s proof for rigid quasi-Stein spaces.