Global division of cohomology classes via injectivity

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dc.creatorEin, Lawrence
dc.creatorPopa, Mihnea
dc.date2007-12-19
dc.date2008-08-18
dc.date.accessioned2026-07-07T09:56:46Z
dc.date.available2026-07-07T09:56:46Z
dc.descriptionWe note that the vanishing and injectivity theorems of Kollár and Esnault-Viehweg can be used to give a quick algebraic proof of a strengthening of the Ein-Lazarsfeld Skoda-type division theorem for global sections of adjoint line bundles vanishing along suitable multiplier ideal sheaves, and to extend it to higher cohomology classes as well. For global sections, this is also a slightly more general statement of the algebraic translation of an analytic result of Siu. Along the way we write down an injectivity statement for multiplier ideals, and its standard consequences.
dc.description10 pages; dedication included, and minor corrections made; to appear in the Michigan Math. J. volume in honor of Mel Hochster's 65th birthday
dc.identifierhttps://arxiv.org/abs/0712.3186
dc.identifierhttp://arxiv.org/abs/0712.3186
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167098
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14F17; 14Q20
dc.titleGlobal division of cohomology classes via injectivity
dc.typetext

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