A generalized Verdier-type Riemann-Roch theorem for Chern-Schwartz-MacPherson classes

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dc.creatorSchuermann, Joerg
dc.date2002-02-18
dc.date.accessioned2026-07-07T04:46:32Z
dc.date.available2026-07-07T04:46:32Z
dc.descriptionWe give a general formula for the defect appearing in the Verdier-type Riemann-Roch formula for Chern-Schwartz-MacPherson classes in the case of a regular embedding. Our proof of this formula uses the constructible function version of Verdier's specialization functor, together with a specialization property of Chern-Schwartz-MacPherson classes and the corresponding Riemann-Roch theorem for smooth morphisms. As a very special case we get a formula for the Milnor-class of a local complete intersection in a smooth manifold, which in the case of a hypersurface gives back a result of Parusinski-Pragacz.
dc.description23 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0202175
dc.identifierhttp://arxiv.org/abs/math/0202175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63367
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject14C17, 14C40, 32S30, 57R20
dc.titleA generalized Verdier-type Riemann-Roch theorem for Chern-Schwartz-MacPherson classes
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