{"work":{"id":"cf4728cc-03d8-4613-9cc2-29ebcd5b2dce","openalex_id":null,"doi":null,"arxiv_id":"1709.07343","raw_key":null,"title":"Etale cohomology of diamonds","authors":null,"authors_text":null,"year":2017,"venue":"math.AG","abstract":"Motivated by problems on the \\'etale cohomology of Rapoport--Zink spaces and their generalizations, as well as Fargues's geometrization conjecture for the local Langlands correspondence, we develop a six functor formalism for the \\'etale cohomology of diamonds, and more generally small v-stacks on the category of perfectoid spaces of characteristic $p$. Using a natural functor from analytic adic spaces over $\\mathbb Z_p$ to diamonds which identifies \\'etale sites, this induces a similar formalism in that setting, which in the noetherian setting recovers the formalism from Huber's book.","external_url":"https://arxiv.org/abs/1709.07343","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-24T11:44:25.133404+00:00","pith_arxiv_id":"1709.07343","created_at":"2026-05-13T18:33:06.698674+00:00","updated_at":"2026-05-24T11:44:25.133404+00:00","title_quality_ok":false,"display_title":"Etale cohomology of diamonds","render_title":"Etale cohomology of diamonds"},"hub":{"state":{"work_id":"cf4728cc-03d8-4613-9cc2-29ebcd5b2dce","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":10,"external_cited_by_count":null,"distinct_field_count":2,"first_pith_cited_at":"2022-07-15T17:35:04+00:00","last_pith_cited_at":"2026-05-18T13:58:54+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-05-26T23:17:15.674774+00:00","tier_text":"hub"},"tier":"hub","role_counts":[],"polarity_counts":[],"runs":{},"summary":{},"graph":{},"authors":[]}}