Matches in SemOpenAlex for { <https://semopenalex.org/work/W1989012583> ?p ?o ?g. }
Showing items 1 to 87 of
87
with 100 items per page.
- W1989012583 abstract "Given an essentially finite type morphism of schemes f: X --> Y and a positive integer d, let f^{d}: X^{d} --> Y denote the natural map from the d-fold fiber product, X^{d}, of X over Y and pi_i: X^{d} --> X the i'th canonical projection. When Y smooth over a field and F is a coherent sheaf on X, it is proved that F is flat over Y if (and only if) f^{d} maps the associated points of the tensor product sheaf otimes_{i=1}^d pi_i^*(F) to generic points of Y, for some d greater than or equal to dim Y. The equivalent statement in commutative algebra is an analog---but not a consequence---of a classical criterion of Auslander and Lichtenbaum for the freeness of finitely generated modules over regular local rings." @default.
- W1989012583 created "2016-06-24" @default.
- W1989012583 creator A5041807524 @default.
- W1989012583 creator A5056968077 @default.
- W1989012583 date "2010-02-19" @default.
- W1989012583 modified "2023-09-27" @default.
- W1989012583 title "Detecting flatness over smooth bases" @default.
- W1989012583 cites W1547535426 @default.
- W1989012583 cites W2004455524 @default.
- W1989012583 cites W2065413290 @default.
- W1989012583 cites W2319559022 @default.
- W1989012583 cites W2530969432 @default.
- W1989012583 hasPublicationYear "2010" @default.
- W1989012583 type Work @default.
- W1989012583 sameAs 1989012583 @default.
- W1989012583 citedByCount "3" @default.
- W1989012583 countsByYear W19890125832013 @default.
- W1989012583 crossrefType "posted-content" @default.
- W1989012583 hasAuthorship W1989012583A5041807524 @default.
- W1989012583 hasAuthorship W1989012583A5056968077 @default.
- W1989012583 hasConcept C114614502 @default.
- W1989012583 hasConcept C118615104 @default.
- W1989012583 hasConcept C121332964 @default.
- W1989012583 hasConcept C133975322 @default.
- W1989012583 hasConcept C137212723 @default.
- W1989012583 hasConcept C183778304 @default.
- W1989012583 hasConcept C18903297 @default.
- W1989012583 hasConcept C199360897 @default.
- W1989012583 hasConcept C202444582 @default.
- W1989012583 hasConcept C26405456 @default.
- W1989012583 hasConcept C2777299769 @default.
- W1989012583 hasConcept C2778530986 @default.
- W1989012583 hasConcept C33923547 @default.
- W1989012583 hasConcept C4017995 @default.
- W1989012583 hasConcept C41008148 @default.
- W1989012583 hasConcept C51255310 @default.
- W1989012583 hasConcept C62520636 @default.
- W1989012583 hasConcept C86803240 @default.
- W1989012583 hasConcept C9652623 @default.
- W1989012583 hasConcept C97137487 @default.
- W1989012583 hasConceptScore W1989012583C114614502 @default.
- W1989012583 hasConceptScore W1989012583C118615104 @default.
- W1989012583 hasConceptScore W1989012583C121332964 @default.
- W1989012583 hasConceptScore W1989012583C133975322 @default.
- W1989012583 hasConceptScore W1989012583C137212723 @default.
- W1989012583 hasConceptScore W1989012583C183778304 @default.
- W1989012583 hasConceptScore W1989012583C18903297 @default.
- W1989012583 hasConceptScore W1989012583C199360897 @default.
- W1989012583 hasConceptScore W1989012583C202444582 @default.
- W1989012583 hasConceptScore W1989012583C26405456 @default.
- W1989012583 hasConceptScore W1989012583C2777299769 @default.
- W1989012583 hasConceptScore W1989012583C2778530986 @default.
- W1989012583 hasConceptScore W1989012583C33923547 @default.
- W1989012583 hasConceptScore W1989012583C4017995 @default.
- W1989012583 hasConceptScore W1989012583C41008148 @default.
- W1989012583 hasConceptScore W1989012583C51255310 @default.
- W1989012583 hasConceptScore W1989012583C62520636 @default.
- W1989012583 hasConceptScore W1989012583C86803240 @default.
- W1989012583 hasConceptScore W1989012583C9652623 @default.
- W1989012583 hasConceptScore W1989012583C97137487 @default.
- W1989012583 hasLocation W19890125831 @default.
- W1989012583 hasOpenAccess W1989012583 @default.
- W1989012583 hasPrimaryLocation W19890125831 @default.
- W1989012583 hasRelatedWork W1496230782 @default.
- W1989012583 hasRelatedWork W1594911548 @default.
- W1989012583 hasRelatedWork W1985453080 @default.
- W1989012583 hasRelatedWork W1994719658 @default.
- W1989012583 hasRelatedWork W2002741895 @default.
- W1989012583 hasRelatedWork W2013037028 @default.
- W1989012583 hasRelatedWork W2017302459 @default.
- W1989012583 hasRelatedWork W2020342197 @default.
- W1989012583 hasRelatedWork W2034660870 @default.
- W1989012583 hasRelatedWork W2053752655 @default.
- W1989012583 hasRelatedWork W2188683346 @default.
- W1989012583 hasRelatedWork W2241391599 @default.
- W1989012583 hasRelatedWork W2913309485 @default.
- W1989012583 hasRelatedWork W2950245676 @default.
- W1989012583 hasRelatedWork W2951920839 @default.
- W1989012583 hasRelatedWork W2952692837 @default.
- W1989012583 hasRelatedWork W2962899231 @default.
- W1989012583 hasRelatedWork W3031528581 @default.
- W1989012583 hasRelatedWork W3099509977 @default.
- W1989012583 hasRelatedWork W3211652545 @default.
- W1989012583 isParatext "false" @default.
- W1989012583 isRetracted "false" @default.
- W1989012583 magId "1989012583" @default.
- W1989012583 workType "article" @default.