Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952921785> ?p ?o ?g. }
Showing items 1 to 96 of
96
with 100 items per page.
- W2952921785 abstract "We study the isospectral Hilbert scheme X_n, defined as the reduced fiber product of C^2n with the Hilbert scheme H_n of points in the plane, over the symmetric power S^n C^2. We prove that X_n is normal, Cohen-Macaulay, and Gorenstein, and hence flat over H_n. We derive two important consequences. (1) We prove the strong form of the n! conjecture of Garsia and the author, giving a representation-theoretic interpretation of the Kostka-Macdonald coefficients K_{lambda,mu}(q,t). This establishes the Macdonald positivity conjecture, that K_{lambda,mu}(q,t) is always a polynomial with non-negative integer coefficients. (2) We show that the Hilbert scheme H_n is isomorphic to the Hilbert scheme of orbits C^2n//S_n, in such a way that X_n is identified with the universal family over C^2n//S_n." @default.
- W2952921785 created "2019-06-27" @default.
- W2952921785 creator A5015409150 @default.
- W2952921785 date "2000-10-25" @default.
- W2952921785 modified "2023-09-27" @default.
- W2952921785 title "Hilbert schemes, polygraphs, and the Macdonald positivity conjecture" @default.
- W2952921785 cites W1550564416 @default.
- W2952921785 cites W1634042400 @default.
- W2952921785 cites W1657002161 @default.
- W2952921785 cites W2021948241 @default.
- W2952921785 cites W2035012336 @default.
- W2952921785 cites W2037099729 @default.
- W2952921785 cites W2043095545 @default.
- W2952921785 cites W2052011341 @default.
- W2952921785 cites W2052195853 @default.
- W2952921785 cites W2059036144 @default.
- W2952921785 cites W2068662463 @default.
- W2952921785 cites W2071335815 @default.
- W2952921785 cites W2072240472 @default.
- W2952921785 cites W2095481467 @default.
- W2952921785 cites W2132628236 @default.
- W2952921785 cites W2949255368 @default.
- W2952921785 cites W2968296682 @default.
- W2952921785 cites W2740099321 @default.
- W2952921785 hasPublicationYear "2000" @default.
- W2952921785 type Work @default.
- W2952921785 sameAs 2952921785 @default.
- W2952921785 citedByCount "1" @default.
- W2952921785 countsByYear W29529217852020 @default.
- W2952921785 crossrefType "posted-content" @default.
- W2952921785 hasAuthorship W2952921785A5015409150 @default.
- W2952921785 hasConcept C114614502 @default.
- W2952921785 hasConcept C118615104 @default.
- W2952921785 hasConcept C121332964 @default.
- W2952921785 hasConcept C134306372 @default.
- W2952921785 hasConcept C150279058 @default.
- W2952921785 hasConcept C199360897 @default.
- W2952921785 hasConcept C202444582 @default.
- W2952921785 hasConcept C2524010 @default.
- W2952921785 hasConcept C2778113609 @default.
- W2952921785 hasConcept C2779710842 @default.
- W2952921785 hasConcept C2780990831 @default.
- W2952921785 hasConcept C33923547 @default.
- W2952921785 hasConcept C41008148 @default.
- W2952921785 hasConcept C527412718 @default.
- W2952921785 hasConcept C62520636 @default.
- W2952921785 hasConcept C77618280 @default.
- W2952921785 hasConcept C90119067 @default.
- W2952921785 hasConcept C90673727 @default.
- W2952921785 hasConcept C97137487 @default.
- W2952921785 hasConceptScore W2952921785C114614502 @default.
- W2952921785 hasConceptScore W2952921785C118615104 @default.
- W2952921785 hasConceptScore W2952921785C121332964 @default.
- W2952921785 hasConceptScore W2952921785C134306372 @default.
- W2952921785 hasConceptScore W2952921785C150279058 @default.
- W2952921785 hasConceptScore W2952921785C199360897 @default.
- W2952921785 hasConceptScore W2952921785C202444582 @default.
- W2952921785 hasConceptScore W2952921785C2524010 @default.
- W2952921785 hasConceptScore W2952921785C2778113609 @default.
- W2952921785 hasConceptScore W2952921785C2779710842 @default.
- W2952921785 hasConceptScore W2952921785C2780990831 @default.
- W2952921785 hasConceptScore W2952921785C33923547 @default.
- W2952921785 hasConceptScore W2952921785C41008148 @default.
- W2952921785 hasConceptScore W2952921785C527412718 @default.
- W2952921785 hasConceptScore W2952921785C62520636 @default.
- W2952921785 hasConceptScore W2952921785C77618280 @default.
- W2952921785 hasConceptScore W2952921785C90119067 @default.
- W2952921785 hasConceptScore W2952921785C90673727 @default.
- W2952921785 hasConceptScore W2952921785C97137487 @default.
- W2952921785 hasLocation W29529217851 @default.
- W2952921785 hasOpenAccess W2952921785 @default.
- W2952921785 hasPrimaryLocation W29529217851 @default.
- W2952921785 hasRelatedWork W1521804139 @default.
- W2952921785 hasRelatedWork W1565170787 @default.
- W2952921785 hasRelatedWork W1808832853 @default.
- W2952921785 hasRelatedWork W197894739 @default.
- W2952921785 hasRelatedWork W1990259394 @default.
- W2952921785 hasRelatedWork W2004667616 @default.
- W2952921785 hasRelatedWork W2035284944 @default.
- W2952921785 hasRelatedWork W2149883925 @default.
- W2952921785 hasRelatedWork W2210328024 @default.
- W2952921785 hasRelatedWork W2221202461 @default.
- W2952921785 hasRelatedWork W2330956782 @default.
- W2952921785 hasRelatedWork W2347866622 @default.
- W2952921785 hasRelatedWork W2888795702 @default.
- W2952921785 hasRelatedWork W2963751073 @default.
- W2952921785 hasRelatedWork W3027559003 @default.
- W2952921785 hasRelatedWork W3081272681 @default.
- W2952921785 hasRelatedWork W3090990336 @default.
- W2952921785 hasRelatedWork W3094542222 @default.
- W2952921785 hasRelatedWork W3176112446 @default.
- W2952921785 hasRelatedWork W331718452 @default.
- W2952921785 isParatext "false" @default.
- W2952921785 isRetracted "false" @default.
- W2952921785 magId "2952921785" @default.
- W2952921785 workType "article" @default.