Matches in SemOpenAlex for { <https://semopenalex.org/work/W2108657553> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2108657553 abstract "The Jacobian conjecture in dimension $n$ asserts that any polynomial endomorphism of $n$-dimensional affine space over a field of zero characteristic, with the Jacobian equal 1, is invertible. The Dixmier conjecture in rank $n$ asserts that any endomorphism of the $n$-th Weyl algebra (the algebra of polynomial differential operators in $n$ variables) is invertible. We prove that the Jacobian conjecture in dimension $2n$ implies the Dixmier conjecture in rank $n$. Together with a well-known implication in the opposite direction, it shows that the stable Jacobian and Dixmier conjectures are equivalent. The main tool of the proof is the reduction to finite characteristic. After the paper was finished we have learned that the main result was already published by Y.Tsuchimoto in Osaka Journal of Mathematics Volume 42, Number 2 (June 2005). His proof is different." @default.
- W2108657553 created "2016-06-24" @default.
- W2108657553 creator A5018376358 @default.
- W2108657553 creator A5061351780 @default.
- W2108657553 date "2005-12-08" @default.
- W2108657553 modified "2023-09-27" @default.
- W2108657553 title "The Jacobian Conjecture is stably equivalent to the Dixmier Conjecture" @default.
- W2108657553 cites W1675890124 @default.
- W2108657553 cites W2081461845 @default.
- W2108657553 cites W2295682214 @default.
- W2108657553 hasPublicationYear "2005" @default.
- W2108657553 type Work @default.
- W2108657553 sameAs 2108657553 @default.
- W2108657553 citedByCount "8" @default.
- W2108657553 countsByYear W21086575532015 @default.
- W2108657553 countsByYear W21086575532018 @default.
- W2108657553 crossrefType "posted-content" @default.
- W2108657553 hasAuthorship W2108657553A5018376358 @default.
- W2108657553 hasAuthorship W2108657553A5061351780 @default.
- W2108657553 hasConcept C114614502 @default.
- W2108657553 hasConcept C116858840 @default.
- W2108657553 hasConcept C118615104 @default.
- W2108657553 hasConcept C134306372 @default.
- W2108657553 hasConcept C136119220 @default.
- W2108657553 hasConcept C164226766 @default.
- W2108657553 hasConcept C200331156 @default.
- W2108657553 hasConcept C202444582 @default.
- W2108657553 hasConcept C2780990831 @default.
- W2108657553 hasConcept C28826006 @default.
- W2108657553 hasConcept C33676613 @default.
- W2108657553 hasConcept C33923547 @default.
- W2108657553 hasConcept C90119067 @default.
- W2108657553 hasConcept C96442724 @default.
- W2108657553 hasConcept C9652623 @default.
- W2108657553 hasConceptScore W2108657553C114614502 @default.
- W2108657553 hasConceptScore W2108657553C116858840 @default.
- W2108657553 hasConceptScore W2108657553C118615104 @default.
- W2108657553 hasConceptScore W2108657553C134306372 @default.
- W2108657553 hasConceptScore W2108657553C136119220 @default.
- W2108657553 hasConceptScore W2108657553C164226766 @default.
- W2108657553 hasConceptScore W2108657553C200331156 @default.
- W2108657553 hasConceptScore W2108657553C202444582 @default.
- W2108657553 hasConceptScore W2108657553C2780990831 @default.
- W2108657553 hasConceptScore W2108657553C28826006 @default.
- W2108657553 hasConceptScore W2108657553C33676613 @default.
- W2108657553 hasConceptScore W2108657553C33923547 @default.
- W2108657553 hasConceptScore W2108657553C90119067 @default.
- W2108657553 hasConceptScore W2108657553C96442724 @default.
- W2108657553 hasConceptScore W2108657553C9652623 @default.
- W2108657553 hasLocation W21086575531 @default.
- W2108657553 hasOpenAccess W2108657553 @default.
- W2108657553 hasPrimaryLocation W21086575531 @default.
- W2108657553 hasRelatedWork W1518543950 @default.
- W2108657553 hasRelatedWork W1561184010 @default.
- W2108657553 hasRelatedWork W1639164498 @default.
- W2108657553 hasRelatedWork W1992436482 @default.
- W2108657553 hasRelatedWork W2024846009 @default.
- W2108657553 hasRelatedWork W2035152725 @default.
- W2108657553 hasRelatedWork W2035289184 @default.
- W2108657553 hasRelatedWork W2081461845 @default.
- W2108657553 hasRelatedWork W2154438961 @default.
- W2108657553 hasRelatedWork W2479006071 @default.
- W2108657553 hasRelatedWork W2949225903 @default.
- W2108657553 hasRelatedWork W2952524129 @default.
- W2108657553 hasRelatedWork W2962690600 @default.
- W2108657553 hasRelatedWork W2962934372 @default.
- W2108657553 hasRelatedWork W2963897276 @default.
- W2108657553 hasRelatedWork W3006828726 @default.
- W2108657553 hasRelatedWork W3011208365 @default.
- W2108657553 hasRelatedWork W3099151113 @default.
- W2108657553 hasRelatedWork W3107810937 @default.
- W2108657553 hasRelatedWork W986011047 @default.
- W2108657553 isParatext "false" @default.
- W2108657553 isRetracted "false" @default.
- W2108657553 magId "2108657553" @default.
- W2108657553 workType "article" @default.