Matches in SemOpenAlex for { <https://semopenalex.org/work/W4379526551> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W4379526551 endingPage "257" @default.
- W4379526551 startingPage "226" @default.
- W4379526551 abstract "The Bott–Thurston cocycle is a $$2$$ -cocycle on the group of orientation-preserving diffeomorphisms of the circle. We introduce and study a formal analog of the Bott–Thurston cocycle. The formal Bott–Thurston cocycle is a $$2$$ -cocycle on the group of continuous $$A$$ -automorphisms of the algebra $$A((t))$$ of Laurent series over a commutative ring $$A$$ with values in the group $$A^*$$ of invertible elements of $$A$$ . We prove that the central extension given by the formal Bott–Thurston cocycle is equivalent to the 12-fold Baer sum of the determinantal central extension when $$A$$ is a $$mathbb Q$$ -algebra. As a consequence of this result we prove a part of a new formal Riemann–Roch theorem. This Riemann–Roch theorem is applied to a ringed space on a separated scheme $$S$$ over $$mathbb Q$$ , where the structure sheaf of the ringed space is locally on $$S$$ isomorphic to the sheaf $$mathcal O_S((t))$$ and the transition automorphisms are continuous. Locally on $$S$$ this ringed space corresponds to the punctured formal neighborhood of a section of a smooth morphism to $$U$$ of relative dimension $$1$$ , where $$U subset S$$ is an open subset." @default.
- W4379526551 created "2023-06-07" @default.
- W4379526551 creator A5033248594 @default.
- W4379526551 date "2023-03-01" @default.
- W4379526551 modified "2023-10-18" @default.
- W4379526551 title "Formal Bott–Thurston Cocycle and Part of a Formal Riemann–Roch Theorem" @default.
- W4379526551 cites W112410570 @default.
- W4379526551 cites W1480751350 @default.
- W4379526551 cites W1547901421 @default.
- W4379526551 cites W1578848569 @default.
- W4379526551 cites W1582341547 @default.
- W4379526551 cites W1998384796 @default.
- W4379526551 cites W2005821842 @default.
- W4379526551 cites W2061940093 @default.
- W4379526551 cites W2077886081 @default.
- W4379526551 cites W2081670817 @default.
- W4379526551 cites W2324854416 @default.
- W4379526551 cites W2565228415 @default.
- W4379526551 cites W2594014364 @default.
- W4379526551 cites W2911258957 @default.
- W4379526551 cites W3037321522 @default.
- W4379526551 cites W3100930680 @default.
- W4379526551 cites W3102182836 @default.
- W4379526551 cites W3103081491 @default.
- W4379526551 cites W3104401429 @default.
- W4379526551 cites W3118955586 @default.
- W4379526551 cites W4214685739 @default.
- W4379526551 cites W4232880853 @default.
- W4379526551 cites W4253118785 @default.
- W4379526551 cites W659518780 @default.
- W4379526551 doi "https://doi.org/10.1134/s0081543823010108" @default.
- W4379526551 hasPublicationYear "2023" @default.
- W4379526551 type Work @default.
- W4379526551 citedByCount "1" @default.
- W4379526551 countsByYear W43795265512023 @default.
- W4379526551 crossrefType "journal-article" @default.
- W4379526551 hasAuthorship W4379526551A5033248594 @default.
- W4379526551 hasBestOaLocation W43795265512 @default.
- W4379526551 hasConcept C112698675 @default.
- W4379526551 hasConcept C118615104 @default.
- W4379526551 hasConcept C118712358 @default.
- W4379526551 hasConcept C136119220 @default.
- W4379526551 hasConcept C137212723 @default.
- W4379526551 hasConcept C138885662 @default.
- W4379526551 hasConcept C144133560 @default.
- W4379526551 hasConcept C171075222 @default.
- W4379526551 hasConcept C178790620 @default.
- W4379526551 hasConcept C183778304 @default.
- W4379526551 hasConcept C185592680 @default.
- W4379526551 hasConcept C199479865 @default.
- W4379526551 hasConcept C202444582 @default.
- W4379526551 hasConcept C2778572836 @default.
- W4379526551 hasConcept C2780129039 @default.
- W4379526551 hasConcept C2781311116 @default.
- W4379526551 hasConcept C33923547 @default.
- W4379526551 hasConcept C4017995 @default.
- W4379526551 hasConcept C41895202 @default.
- W4379526551 hasConceptScore W4379526551C112698675 @default.
- W4379526551 hasConceptScore W4379526551C118615104 @default.
- W4379526551 hasConceptScore W4379526551C118712358 @default.
- W4379526551 hasConceptScore W4379526551C136119220 @default.
- W4379526551 hasConceptScore W4379526551C137212723 @default.
- W4379526551 hasConceptScore W4379526551C138885662 @default.
- W4379526551 hasConceptScore W4379526551C144133560 @default.
- W4379526551 hasConceptScore W4379526551C171075222 @default.
- W4379526551 hasConceptScore W4379526551C178790620 @default.
- W4379526551 hasConceptScore W4379526551C183778304 @default.
- W4379526551 hasConceptScore W4379526551C185592680 @default.
- W4379526551 hasConceptScore W4379526551C199479865 @default.
- W4379526551 hasConceptScore W4379526551C202444582 @default.
- W4379526551 hasConceptScore W4379526551C2778572836 @default.
- W4379526551 hasConceptScore W4379526551C2780129039 @default.
- W4379526551 hasConceptScore W4379526551C2781311116 @default.
- W4379526551 hasConceptScore W4379526551C33923547 @default.
- W4379526551 hasConceptScore W4379526551C4017995 @default.
- W4379526551 hasConceptScore W4379526551C41895202 @default.
- W4379526551 hasIssue "1" @default.
- W4379526551 hasLocation W43795265511 @default.
- W4379526551 hasLocation W43795265512 @default.
- W4379526551 hasOpenAccess W4379526551 @default.
- W4379526551 hasPrimaryLocation W43795265511 @default.
- W4379526551 hasRelatedWork W1985218657 @default.
- W4379526551 hasRelatedWork W2035996168 @default.
- W4379526551 hasRelatedWork W2123173272 @default.
- W4379526551 hasRelatedWork W2136357364 @default.
- W4379526551 hasRelatedWork W2963288673 @default.
- W4379526551 hasRelatedWork W3126773016 @default.
- W4379526551 hasRelatedWork W4226371494 @default.
- W4379526551 hasRelatedWork W4244465134 @default.
- W4379526551 hasRelatedWork W4318769964 @default.
- W4379526551 hasRelatedWork W4375947497 @default.
- W4379526551 hasVolume "320" @default.
- W4379526551 isParatext "false" @default.
- W4379526551 isRetracted "false" @default.
- W4379526551 workType "article" @default.