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The second vanishing theorem has a long history in the theory of local cohomology modules, which connects the vanishing of a complete regular local ring with a topological property of the punctured spectrum of the ring under some conditions. However,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd648ce793c1b03b832e8f8ce52889ed
Autor:
Shinnosuke Ishiro, Kazuma Shimomoto
The almost purity theorem is central to the geometry of perfectoid spaces and has numerous applications in algebra and geometry. This result is known to have several different proofs in the case that the base ring is a perfectoid valuation ring. We g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb8db4b9ec101e477fd51c1e476c2f5e
http://arxiv.org/abs/2012.13984
http://arxiv.org/abs/2012.13984
Publikováno v:
Proceedings of the American Mathematical Society; Jul2023, Vol. 151 Issue 7, p2847-2862, 16p
