Hodge number polynomials for nearby and vanishing cohomology

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dc.creatorPeters, C. A. M.
dc.creatorSteenbrink, J. H. M.
dc.date2005-11-07
dc.date.accessioned2026-07-07T06:50:53Z
dc.date.available2026-07-07T06:50:53Z
dc.descriptionWe recall the construction of the Hodge character and we show, using a result due to F. Bittner, that these can be constructed using classical pure Hodge theory only, sideskipping Deligne's construction of functorial mixed Hodge structures on the cohomology of algberaic varieties. We then give a proof, based on the weak factorization theorem, that the nearby fibre is well-defined in the Grothendieck group of varieties. Finally, various formulas for numerical invariants of Hodge-theoretic origin are presented which are associated to one-parameter degenerations of projective manifolds.
dc.description15 pages, contribution to Proceedings of "Algebraic cycles and motives", EAGER Conference 2004 Leiden University
dc.identifierhttps://arxiv.org/abs/math/0511160
dc.identifierhttp://arxiv.org/abs/math/0511160
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104805
dc.subjectAlgebraic Geometry
dc.subject14D07; 32G20
dc.titleHodge number polynomials for nearby and vanishing cohomology
dc.typetext

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