Matches in SemOpenAlex for { <https://semopenalex.org/work/W2004455524> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2004455524 abstract "We prove that, if F is a coherent sheaf of modules over the source of a morphism f:X->Y of complex-analytic spaces, where Y is smooth, then the stalk of F at a point x in X is flat over R, the local ring of the target at f(x) if and only if the n-fold analytic tensor power of this stalk over R (where n = dim R) has no vertical elements. The result implies that if F is a finite module over a morphism f:X->Y of complex algebraic varieties, where Y is smooth and n=dim Y, then the stalk of F at x is R-flat if and only if its n-fold tensor power is a torsionfree R-module. The latter generalizes a classical freeness criterion of Auslander to modules that are not necessarily finitely generated over the base ring." @default.
- W2004455524 created "2016-06-24" @default.
- W2004455524 creator A5021655334 @default.
- W2004455524 creator A5027157215 @default.
- W2004455524 creator A5031178299 @default.
- W2004455524 date "2009-01-18" @default.
- W2004455524 modified "2023-09-27" @default.
- W2004455524 title "Geometric Auslander criterion for flatness" @default.
- W2004455524 cites W1495410784 @default.
- W2004455524 cites W1547535426 @default.
- W2004455524 cites W1621164476 @default.
- W2004455524 cites W1931868030 @default.
- W2004455524 cites W1979671175 @default.
- W2004455524 cites W1989012583 @default.
- W2004455524 cites W2036294936 @default.
- W2004455524 cites W2098125018 @default.
- W2004455524 cites W2147433947 @default.
- W2004455524 cites W2575168217 @default.
- W2004455524 cites W618775709 @default.
- W2004455524 hasPublicationYear "2009" @default.
- W2004455524 type Work @default.
- W2004455524 sameAs 2004455524 @default.
- W2004455524 citedByCount "6" @default.
- W2004455524 countsByYear W20044555242012 @default.
- W2004455524 countsByYear W20044555242013 @default.
- W2004455524 crossrefType "posted-content" @default.
- W2004455524 hasAuthorship W2004455524A5021655334 @default.
- W2004455524 hasAuthorship W2004455524A5027157215 @default.
- W2004455524 hasAuthorship W2004455524A5031178299 @default.
- W2004455524 hasConcept C118615104 @default.
- W2004455524 hasConcept C121332964 @default.
- W2004455524 hasConcept C134306372 @default.
- W2004455524 hasConcept C137212723 @default.
- W2004455524 hasConcept C142109727 @default.
- W2004455524 hasConcept C144027150 @default.
- W2004455524 hasConcept C162860070 @default.
- W2004455524 hasConcept C178790620 @default.
- W2004455524 hasConcept C185592680 @default.
- W2004455524 hasConcept C202444582 @default.
- W2004455524 hasConcept C26405456 @default.
- W2004455524 hasConcept C2778530986 @default.
- W2004455524 hasConcept C2779560860 @default.
- W2004455524 hasConcept C2780378348 @default.
- W2004455524 hasConcept C33923547 @default.
- W2004455524 hasConcept C4017995 @default.
- W2004455524 hasConcept C42058472 @default.
- W2004455524 hasConcept C62520636 @default.
- W2004455524 hasConcept C86803240 @default.
- W2004455524 hasConceptScore W2004455524C118615104 @default.
- W2004455524 hasConceptScore W2004455524C121332964 @default.
- W2004455524 hasConceptScore W2004455524C134306372 @default.
- W2004455524 hasConceptScore W2004455524C137212723 @default.
- W2004455524 hasConceptScore W2004455524C142109727 @default.
- W2004455524 hasConceptScore W2004455524C144027150 @default.
- W2004455524 hasConceptScore W2004455524C162860070 @default.
- W2004455524 hasConceptScore W2004455524C178790620 @default.
- W2004455524 hasConceptScore W2004455524C185592680 @default.
- W2004455524 hasConceptScore W2004455524C202444582 @default.
- W2004455524 hasConceptScore W2004455524C26405456 @default.
- W2004455524 hasConceptScore W2004455524C2778530986 @default.
- W2004455524 hasConceptScore W2004455524C2779560860 @default.
- W2004455524 hasConceptScore W2004455524C2780378348 @default.
- W2004455524 hasConceptScore W2004455524C33923547 @default.
- W2004455524 hasConceptScore W2004455524C4017995 @default.
- W2004455524 hasConceptScore W2004455524C42058472 @default.
- W2004455524 hasConceptScore W2004455524C62520636 @default.
- W2004455524 hasConceptScore W2004455524C86803240 @default.
- W2004455524 hasLocation W20044555241 @default.
- W2004455524 hasOpenAccess W2004455524 @default.
- W2004455524 hasPrimaryLocation W20044555241 @default.
- W2004455524 hasRelatedWork W1561321489 @default.
- W2004455524 hasRelatedWork W1975091179 @default.
- W2004455524 hasRelatedWork W1986975117 @default.
- W2004455524 hasRelatedWork W1995864736 @default.
- W2004455524 hasRelatedWork W2021011913 @default.
- W2004455524 hasRelatedWork W2022453030 @default.
- W2004455524 hasRelatedWork W2025699537 @default.
- W2004455524 hasRelatedWork W2085639603 @default.
- W2004455524 hasRelatedWork W2090791087 @default.
- W2004455524 hasRelatedWork W2241391599 @default.
- W2004455524 hasRelatedWork W2255506707 @default.
- W2004455524 hasRelatedWork W2383554076 @default.
- W2004455524 hasRelatedWork W2749601804 @default.
- W2004455524 hasRelatedWork W2950517403 @default.
- W2004455524 hasRelatedWork W2962966565 @default.
- W2004455524 hasRelatedWork W2963484736 @default.
- W2004455524 hasRelatedWork W3024070954 @default.
- W2004455524 hasRelatedWork W3098986752 @default.
- W2004455524 hasRelatedWork W3103011319 @default.
- W2004455524 hasRelatedWork W3202149898 @default.
- W2004455524 isParatext "false" @default.
- W2004455524 isRetracted "false" @default.
- W2004455524 magId "2004455524" @default.
- W2004455524 workType "article" @default.