FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1623168034> ?p ?o ?g. }

• W1623168034 endingPage "4426" @default.
• W1623168034 startingPage "4397" @default.
• W1623168034 abstract "We derive an explicit version of the Bernstein-Gel’fand-Gel’fand (BGG) correspondence between bounded complexes of coherent sheaves on projective space and minimal doubly infinite free resolutions over its “Koszul dual” exterior algebra. Among the facts about the BGG correspondence that we derive is that taking homology of a complex of sheaves corresponds to taking the “linear part” of a resolution over the exterior algebra. We explore the structure of free resolutions over an exterior algebra. For example, we show that such resolutions are eventually dominated by their “linear parts in the sense that erasing all terms of degree <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=greater-than 1> <mml:semantics> <mml:mrow> <mml:mo>></mml:mo> <mml:mn>1</mml:mn> </mml:mrow> <mml:annotation encoding=application/x-tex>>1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> in the complex yields a new complex which is eventually exact. As applications we give a construction of the Beilinson monad which expresses a sheaf on projective space in terms of its cohomology by using sheaves of differential forms. The explicitness of our version allows us to prove two conjectures about the morphisms in the monad, and we get an efficient method for machine computation of the cohomology of sheaves. We also construct all the monads for a sheaf that can be built from sums of line bundles, and show that they are often characterized by numerical data." @default.
• W1623168034 created "2016-06-24" @default.
• W1623168034 creator A5036413185 @default.
• W1623168034 creator A5038377850 @default.
• W1623168034 creator A5090361004 @default.
• W1623168034 date "2003-07-10" @default.
• W1623168034 modified "2023-10-18" @default.
• W1623168034 title "Sheaf cohomology and free resolutions over exterior algebras" @default.
• W1623168034 cites W1587077629 @default.
• W1623168034 cites W1588948421 @default.
• W1623168034 cites W1595937157 @default.
• W1623168034 cites W1640288145 @default.
• W1623168034 cites W1977361551 @default.
• W1623168034 cites W1981163327 @default.
• W1623168034 cites W1990933898 @default.
• W1623168034 cites W1994942508 @default.
• W1623168034 cites W2021221846 @default.
• W1623168034 cites W2034171999 @default.
• W1623168034 cites W2035259373 @default.
• W1623168034 cites W2039710019 @default.
• W1623168034 cites W2051187488 @default.
• W1623168034 cites W2052606849 @default.
• W1623168034 cites W2056098719 @default.
• W1623168034 cites W2057665091 @default.
• W1623168034 cites W2066047012 @default.
• W1623168034 cites W2085333384 @default.
• W1623168034 cites W2085826370 @default.
• W1623168034 cites W2101929708 @default.
• W1623168034 cites W2132202780 @default.
• W1623168034 cites W2136090687 @default.
• W1623168034 cites W2139317558 @default.
• W1623168034 cites W2497403062 @default.
• W1623168034 cites W3102750374 @default.
• W1623168034 cites W4230233195 @default.
• W1623168034 cites W4248269519 @default.
• W1623168034 cites W4249549360 @default.
• W1623168034 doi "https://doi.org/10.1090/s0002-9947-03-03291-4" @default.
• W1623168034 hasPublicationYear "2003" @default.
• W1623168034 type Work @default.
• W1623168034 sameAs 1623168034 @default.
• W1623168034 citedByCount "149" @default.
• W1623168034 countsByYear W16231680342012 @default.
• W1623168034 countsByYear W16231680342013 @default.
• W1623168034 countsByYear W16231680342014 @default.
• W1623168034 countsByYear W16231680342015 @default.
• W1623168034 countsByYear W16231680342016 @default.
• W1623168034 countsByYear W16231680342017 @default.
• W1623168034 countsByYear W16231680342018 @default.
• W1623168034 countsByYear W16231680342019 @default.
• W1623168034 countsByYear W16231680342020 @default.
• W1623168034 countsByYear W16231680342021 @default.
• W1623168034 countsByYear W16231680342022 @default.
• W1623168034 countsByYear W16231680342023 @default.
• W1623168034 crossrefType "journal-article" @default.
• W1623168034 hasAuthorship W1623168034A5036413185 @default.
• W1623168034 hasAuthorship W1623168034A5038377850 @default.
• W1623168034 hasAuthorship W1623168034A5090361004 @default.
• W1623168034 hasBestOaLocation W16231680341 @default.
• W1623168034 hasConcept C136119220 @default.
• W1623168034 hasConcept C137212723 @default.
• W1623168034 hasConcept C138268822 @default.
• W1623168034 hasConcept C143161588 @default.
• W1623168034 hasConcept C154945302 @default.
• W1623168034 hasConcept C156772000 @default.
• W1623168034 hasConcept C202444582 @default.
• W1623168034 hasConcept C33923547 @default.
• W1623168034 hasConcept C33959348 @default.
• W1623168034 hasConcept C4017995 @default.
• W1623168034 hasConcept C41008148 @default.
• W1623168034 hasConcept C78606066 @default.
• W1623168034 hasConceptScore W1623168034C136119220 @default.
• W1623168034 hasConceptScore W1623168034C137212723 @default.
• W1623168034 hasConceptScore W1623168034C138268822 @default.
• W1623168034 hasConceptScore W1623168034C143161588 @default.
• W1623168034 hasConceptScore W1623168034C154945302 @default.
• W1623168034 hasConceptScore W1623168034C156772000 @default.
• W1623168034 hasConceptScore W1623168034C202444582 @default.
• W1623168034 hasConceptScore W1623168034C33923547 @default.
• W1623168034 hasConceptScore W1623168034C33959348 @default.
• W1623168034 hasConceptScore W1623168034C4017995 @default.
• W1623168034 hasConceptScore W1623168034C41008148 @default.
• W1623168034 hasConceptScore W1623168034C78606066 @default.
• W1623168034 hasIssue "11" @default.
• W1623168034 hasLocation W16231680341 @default.
• W1623168034 hasLocation W16231680342 @default.
• W1623168034 hasLocation W16231680343 @default.
• W1623168034 hasOpenAccess W1623168034 @default.
• W1623168034 hasPrimaryLocation W16231680341 @default.
• W1623168034 hasRelatedWork W131399980 @default.
• W1623168034 hasRelatedWork W1489770165 @default.
• W1623168034 hasRelatedWork W1623168034 @default.
• W1623168034 hasRelatedWork W1843009538 @default.
• W1623168034 hasRelatedWork W1971624427 @default.
• W1623168034 hasRelatedWork W2950113800 @default.
• W1623168034 hasRelatedWork W3098749204 @default.
• W1623168034 hasRelatedWork W4242280518 @default.
• W1623168034 hasRelatedWork W4293392529 @default.
• W1623168034 hasRelatedWork W952420568 @default.

• next