Matches in SemOpenAlex for { <https://semopenalex.org/work/W2045163403> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2045163403 endingPage "73" @default.
- W2045163403 startingPage "33" @default.
- W2045163403 abstract "We define the notion of a hypercube structure on a functor between two commutative Picard categories which generalizes the notion of a cube structure on a Gm-torsor over an abelian scheme. We prove that the determinant functor of a relative scheme X/S of relative dimension n is canonically endowed with a (n+2)-cube structure. We use this result to define the intersection bundle IX/S(L1,…,Ln+1) of n+1 line bundles on X/S and to construct an additive structure on the functor IX/S:PIC(X/S)n+1→PIC(S). Then, we construct the resultant of n+1 sections of n+1 line bundles on X, and the discriminant of a section of a line bundle on X. Finally we study the relationship between the cube structures on the determinant functor and on the discriminant functor, and we use it to prove a polarization formula for the discriminant functor." @default.
- W2045163403 created "2016-06-24" @default.
- W2045163403 creator A5020143438 @default.
- W2045163403 date "2005-01-01" @default.
- W2045163403 modified "2023-09-27" @default.
- W2045163403 title "Cube structures and intersection bundles" @default.
- W2045163403 cites W1582341547 @default.
- W2045163403 cites W169258215 @default.
- W2045163403 cites W2068958514 @default.
- W2045163403 cites W2519593135 @default.
- W2045163403 cites W2520929439 @default.
- W2045163403 cites W2603385243 @default.
- W2045163403 cites W4248797717 @default.
- W2045163403 doi "https://doi.org/10.1016/j.jpaa.2004.06.002" @default.
- W2045163403 hasPublicationYear "2005" @default.
- W2045163403 type Work @default.
- W2045163403 sameAs 2045163403 @default.
- W2045163403 citedByCount "17" @default.
- W2045163403 countsByYear W20451634032014 @default.
- W2045163403 countsByYear W20451634032015 @default.
- W2045163403 countsByYear W20451634032017 @default.
- W2045163403 countsByYear W20451634032019 @default.
- W2045163403 countsByYear W20451634032020 @default.
- W2045163403 countsByYear W20451634032021 @default.
- W2045163403 crossrefType "journal-article" @default.
- W2045163403 hasAuthorship W2045163403A5020143438 @default.
- W2045163403 hasConcept C112698675 @default.
- W2045163403 hasConcept C114614502 @default.
- W2045163403 hasConcept C118615104 @default.
- W2045163403 hasConcept C127413603 @default.
- W2045163403 hasConcept C136170076 @default.
- W2045163403 hasConcept C144133560 @default.
- W2045163403 hasConcept C146978453 @default.
- W2045163403 hasConcept C154945302 @default.
- W2045163403 hasConcept C156772000 @default.
- W2045163403 hasConcept C202444582 @default.
- W2045163403 hasConcept C2780129039 @default.
- W2045163403 hasConcept C33923547 @default.
- W2045163403 hasConcept C41008148 @default.
- W2045163403 hasConcept C53051483 @default.
- W2045163403 hasConcept C64543145 @default.
- W2045163403 hasConcept C78397625 @default.
- W2045163403 hasConceptScore W2045163403C112698675 @default.
- W2045163403 hasConceptScore W2045163403C114614502 @default.
- W2045163403 hasConceptScore W2045163403C118615104 @default.
- W2045163403 hasConceptScore W2045163403C127413603 @default.
- W2045163403 hasConceptScore W2045163403C136170076 @default.
- W2045163403 hasConceptScore W2045163403C144133560 @default.
- W2045163403 hasConceptScore W2045163403C146978453 @default.
- W2045163403 hasConceptScore W2045163403C154945302 @default.
- W2045163403 hasConceptScore W2045163403C156772000 @default.
- W2045163403 hasConceptScore W2045163403C202444582 @default.
- W2045163403 hasConceptScore W2045163403C2780129039 @default.
- W2045163403 hasConceptScore W2045163403C33923547 @default.
- W2045163403 hasConceptScore W2045163403C41008148 @default.
- W2045163403 hasConceptScore W2045163403C53051483 @default.
- W2045163403 hasConceptScore W2045163403C64543145 @default.
- W2045163403 hasConceptScore W2045163403C78397625 @default.
- W2045163403 hasIssue "1" @default.
- W2045163403 hasLocation W20451634031 @default.
- W2045163403 hasOpenAccess W2045163403 @default.
- W2045163403 hasPrimaryLocation W20451634031 @default.
- W2045163403 hasRelatedWork W10832145 @default.
- W2045163403 hasRelatedWork W1678370088 @default.
- W2045163403 hasRelatedWork W2021915098 @default.
- W2045163403 hasRelatedWork W2026443362 @default.
- W2045163403 hasRelatedWork W2029081360 @default.
- W2045163403 hasRelatedWork W2149376139 @default.
- W2045163403 hasRelatedWork W2962962227 @default.
- W2045163403 hasRelatedWork W3098749204 @default.
- W2045163403 hasRelatedWork W3100706147 @default.
- W2045163403 hasRelatedWork W4230883232 @default.
- W2045163403 hasVolume "195" @default.
- W2045163403 isParatext "false" @default.
- W2045163403 isRetracted "false" @default.
- W2045163403 magId "2045163403" @default.
- W2045163403 workType "article" @default.