Matches in SemOpenAlex for { <https://semopenalex.org/work/W3080339745> ?p ?o ?g. }
Showing items 1 to 84 of
84
with 100 items per page.
- W3080339745 abstract "Let $R = k[x_1, ldots, x_n]$ be a polynomial ring over a field $k$ of characteristic zero and $cR$ be the formal power series ring $k[[x_1, ldots, x_n]]$. If $M$ is a $D$-module over $R$, then $cR otimes_R M$ is naturally a $D$-module over $cR$. Hartshorne and Polini asked whether the natural maps $H^i_{dR}(M)to H^i_{dR}(cR otimes_R M)$ (induced by $Mto cR otimes_R M$) are isomorphisms whenever $M$ is graded and holonomic. We give a positive answer to their question, as a corollary of the following stronger result. Let $M$ be a finitely generated graded $D$-module: for each integer $i$ such that $dim_kH^i_{dR}(M)<infty$, the natural map $H^i_{dR}(M)to H^i_{dR}(cR otimes_R M)$ (induced by $Mto cR otimes_R M$) is an isomorphism." @default.
- W3080339745 created "2020-09-01" @default.
- W3080339745 creator A5043724475 @default.
- W3080339745 creator A5058422472 @default.
- W3080339745 date "2020-01-01" @default.
- W3080339745 modified "2023-09-26" @default.
- W3080339745 title "On completion of graded $D$-modules" @default.
- W3080339745 doi "https://doi.org/10.4310/mrl.2020.v27.n3.a13" @default.
- W3080339745 hasPublicationYear "2020" @default.
- W3080339745 type Work @default.
- W3080339745 sameAs 3080339745 @default.
- W3080339745 citedByCount "0" @default.
- W3080339745 crossrefType "journal-article" @default.
- W3080339745 hasAuthorship W3080339745A5043724475 @default.
- W3080339745 hasAuthorship W3080339745A5058422472 @default.
- W3080339745 hasBestOaLocation W30803397452 @default.
- W3080339745 hasConcept C114614502 @default.
- W3080339745 hasConcept C115624301 @default.
- W3080339745 hasConcept C118615104 @default.
- W3080339745 hasConcept C121332964 @default.
- W3080339745 hasConcept C134306372 @default.
- W3080339745 hasConcept C138885662 @default.
- W3080339745 hasConcept C151746172 @default.
- W3080339745 hasConcept C162860070 @default.
- W3080339745 hasConcept C178790620 @default.
- W3080339745 hasConcept C184264201 @default.
- W3080339745 hasConcept C185592680 @default.
- W3080339745 hasConcept C199360897 @default.
- W3080339745 hasConcept C203436722 @default.
- W3080339745 hasConcept C2777964439 @default.
- W3080339745 hasConcept C2780378348 @default.
- W3080339745 hasConcept C2780813799 @default.
- W3080339745 hasConcept C33923547 @default.
- W3080339745 hasConcept C41008148 @default.
- W3080339745 hasConcept C41895202 @default.
- W3080339745 hasConcept C62520636 @default.
- W3080339745 hasConcept C73905626 @default.
- W3080339745 hasConcept C8010536 @default.
- W3080339745 hasConcept C90119067 @default.
- W3080339745 hasConcept C9485509 @default.
- W3080339745 hasConcept C97137487 @default.
- W3080339745 hasConceptScore W3080339745C114614502 @default.
- W3080339745 hasConceptScore W3080339745C115624301 @default.
- W3080339745 hasConceptScore W3080339745C118615104 @default.
- W3080339745 hasConceptScore W3080339745C121332964 @default.
- W3080339745 hasConceptScore W3080339745C134306372 @default.
- W3080339745 hasConceptScore W3080339745C138885662 @default.
- W3080339745 hasConceptScore W3080339745C151746172 @default.
- W3080339745 hasConceptScore W3080339745C162860070 @default.
- W3080339745 hasConceptScore W3080339745C178790620 @default.
- W3080339745 hasConceptScore W3080339745C184264201 @default.
- W3080339745 hasConceptScore W3080339745C185592680 @default.
- W3080339745 hasConceptScore W3080339745C199360897 @default.
- W3080339745 hasConceptScore W3080339745C203436722 @default.
- W3080339745 hasConceptScore W3080339745C2777964439 @default.
- W3080339745 hasConceptScore W3080339745C2780378348 @default.
- W3080339745 hasConceptScore W3080339745C2780813799 @default.
- W3080339745 hasConceptScore W3080339745C33923547 @default.
- W3080339745 hasConceptScore W3080339745C41008148 @default.
- W3080339745 hasConceptScore W3080339745C41895202 @default.
- W3080339745 hasConceptScore W3080339745C62520636 @default.
- W3080339745 hasConceptScore W3080339745C73905626 @default.
- W3080339745 hasConceptScore W3080339745C8010536 @default.
- W3080339745 hasConceptScore W3080339745C90119067 @default.
- W3080339745 hasConceptScore W3080339745C9485509 @default.
- W3080339745 hasConceptScore W3080339745C97137487 @default.
- W3080339745 hasLocation W30803397451 @default.
- W3080339745 hasLocation W30803397452 @default.
- W3080339745 hasOpenAccess W3080339745 @default.
- W3080339745 hasPrimaryLocation W30803397451 @default.
- W3080339745 hasRelatedWork W11976608 @default.
- W3080339745 hasRelatedWork W17291512 @default.
- W3080339745 hasRelatedWork W20091984 @default.
- W3080339745 hasRelatedWork W33840673 @default.
- W3080339745 hasRelatedWork W34093458 @default.
- W3080339745 hasRelatedWork W43167661 @default.
- W3080339745 hasRelatedWork W46200121 @default.
- W3080339745 hasRelatedWork W64187981 @default.
- W3080339745 hasRelatedWork W7352807 @default.
- W3080339745 hasRelatedWork W8576486 @default.
- W3080339745 isParatext "false" @default.
- W3080339745 isRetracted "false" @default.
- W3080339745 magId "3080339745" @default.
- W3080339745 workType "article" @default.