Matches in SemOpenAlex for { <https://semopenalex.org/work/W2962801008> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2962801008 endingPage "732" @default.
- W2962801008 startingPage "704" @default.
- W2962801008 abstract "This paper gives an explicit formula for the multiplier ideals, and consequently for the log canonical thresholds, of any GL(V)×GL(W)-invariant ideal in S=Sym(V⊗W⁎), where V and W are vector spaces over a field of characteristic 0. This characterization is done in terms of a polytope constructed from the set of Young diagrams corresponding to the Schur modules generating the ideal. Our approach consists in computing the test ideals of some invariant ideals of S in positive characteristic: Namely, we compute the test ideals (and so the F-pure thresholds) of any sum of products of determinantal ideals. Not all the invariant ideals are as the latter (not even in characteristic 0), but they are up to integral closure, and this is enough to reach our goals. The results concerning the test ideals are obtained as a consequence of general results holding true in a special situation. Within such framework fall determinantal objects of a generic matrix, as well as of a symmetric matrix and of a skew-symmetric one. Similar results are thus deduced for the GL(V)-invariant ideals in Sym(Sym2V) and in Sym(⋀2V). (Monomial ideals also fall in this framework, thus we recover Howald's formula for their multiplier ideals and, more generally, Hara–Yoshida's formula for their test ideals.) In the proof, we introduce the notion of “floating test ideals”, a property that in a sense is satisfied by ideals defining schemes with the nicest possible singularities. As will be shown, products of determinantal ideals, and by passing to characteristic 0 ideals generated by a single Schur module, have this property." @default.
- W2962801008 created "2019-07-30" @default.
- W2962801008 creator A5001802094 @default.
- W2962801008 creator A5054070989 @default.
- W2962801008 date "2016-01-01" @default.
- W2962801008 modified "2023-09-26" @default.
- W2962801008 title "Test, multiplier and invariant ideals" @default.
- W2962801008 cites W1514206591 @default.
- W2962801008 cites W1633620654 @default.
- W2962801008 cites W1635682819 @default.
- W2962801008 cites W1772827447 @default.
- W2962801008 cites W1968936725 @default.
- W2962801008 cites W1978837268 @default.
- W2962801008 cites W1982865390 @default.
- W2962801008 cites W2006393109 @default.
- W2962801008 cites W2029043187 @default.
- W2962801008 cites W2040261387 @default.
- W2962801008 cites W2061721224 @default.
- W2962801008 cites W2093530788 @default.
- W2962801008 cites W2106142912 @default.
- W2962801008 cites W2110427814 @default.
- W2962801008 cites W2146162018 @default.
- W2962801008 doi "https://doi.org/10.1016/j.aim.2015.09.028" @default.
- W2962801008 hasPublicationYear "2016" @default.
- W2962801008 type Work @default.
- W2962801008 sameAs 2962801008 @default.
- W2962801008 citedByCount "5" @default.
- W2962801008 countsByYear W29628010082016 @default.
- W2962801008 countsByYear W29628010082017 @default.
- W2962801008 countsByYear W29628010082018 @default.
- W2962801008 countsByYear W29628010082021 @default.
- W2962801008 crossrefType "journal-article" @default.
- W2962801008 hasAuthorship W2962801008A5001802094 @default.
- W2962801008 hasAuthorship W2962801008A5054070989 @default.
- W2962801008 hasBestOaLocation W29628010081 @default.
- W2962801008 hasConcept C11252640 @default.
- W2962801008 hasConcept C114614502 @default.
- W2962801008 hasConcept C134306372 @default.
- W2962801008 hasConcept C136119220 @default.
- W2962801008 hasConcept C175958551 @default.
- W2962801008 hasConcept C182817911 @default.
- W2962801008 hasConcept C184992742 @default.
- W2962801008 hasConcept C190470478 @default.
- W2962801008 hasConcept C202444582 @default.
- W2962801008 hasConcept C2777789435 @default.
- W2962801008 hasConcept C33923547 @default.
- W2962801008 hasConcept C37914503 @default.
- W2962801008 hasConcept C78313660 @default.
- W2962801008 hasConcept C90119067 @default.
- W2962801008 hasConcept C9485509 @default.
- W2962801008 hasConceptScore W2962801008C11252640 @default.
- W2962801008 hasConceptScore W2962801008C114614502 @default.
- W2962801008 hasConceptScore W2962801008C134306372 @default.
- W2962801008 hasConceptScore W2962801008C136119220 @default.
- W2962801008 hasConceptScore W2962801008C175958551 @default.
- W2962801008 hasConceptScore W2962801008C182817911 @default.
- W2962801008 hasConceptScore W2962801008C184992742 @default.
- W2962801008 hasConceptScore W2962801008C190470478 @default.
- W2962801008 hasConceptScore W2962801008C202444582 @default.
- W2962801008 hasConceptScore W2962801008C2777789435 @default.
- W2962801008 hasConceptScore W2962801008C33923547 @default.
- W2962801008 hasConceptScore W2962801008C37914503 @default.
- W2962801008 hasConceptScore W2962801008C78313660 @default.
- W2962801008 hasConceptScore W2962801008C90119067 @default.
- W2962801008 hasConceptScore W2962801008C9485509 @default.
- W2962801008 hasFunder F4320321873 @default.
- W2962801008 hasFunder F4320334627 @default.
- W2962801008 hasLocation W29628010081 @default.
- W2962801008 hasLocation W29628010082 @default.
- W2962801008 hasLocation W29628010083 @default.
- W2962801008 hasLocation W29628010084 @default.
- W2962801008 hasOpenAccess W2962801008 @default.
- W2962801008 hasPrimaryLocation W29628010081 @default.
- W2962801008 hasRelatedWork W122041292 @default.
- W2962801008 hasRelatedWork W1483147259 @default.
- W2962801008 hasRelatedWork W1844629010 @default.
- W2962801008 hasRelatedWork W1972746153 @default.
- W2962801008 hasRelatedWork W2016934773 @default.
- W2962801008 hasRelatedWork W2035583073 @default.
- W2962801008 hasRelatedWork W2131788494 @default.
- W2962801008 hasRelatedWork W2177378546 @default.
- W2962801008 hasRelatedWork W2891690413 @default.
- W2962801008 hasRelatedWork W4298444100 @default.
- W2962801008 hasVolume "287" @default.
- W2962801008 isParatext "false" @default.
- W2962801008 isRetracted "false" @default.
- W2962801008 magId "2962801008" @default.
- W2962801008 workType "article" @default.