Higuer bott Chern forms and Beilinson's regulator

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dc.contributor.authorBurgos Gil, José I.
dc.contributor.authorWang, Steve
dc.date.accessioned2020-03-05T15:15:44Z
dc.date.available2020-03-05T15:15:44Z
dc.date.issued1996
dc.descriptionPreprint enviat per a la seva publicació en una revista científica: Inventiones mathematicae, 1998, vol. 132, pp. 261–305. [https://doi.org/10.1007/s002220050224]ca
dc.description.abstractIn this paper, we prove a Gauss-Bonnet theorem for the higher algebraic K-theory of smooth complex algebraic varieties. To each exact n-cube of hermitian vector bundles, we associate a higher Bott-Chen form, generalizing the Bott-Chern forms associated to exact sequences. These forms allow us to define characteristic classes from K-theory to absolute Hodge cohomology. Then we prove that these characteristic classes agree with Beilinson's regulator map.ca
dc.format.extent37 p.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/2445/152118
dc.language.isoengca
dc.publisherUniversitat de Barcelonaca
dc.relation.isformatofReproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 37.15]
dc.relation.ispartofseriesMathematics Preprint Series; 220ca
dc.rights(c) José Ignacio Burgos et al., 1996
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca
dc.sourcePreprints de Matemàtiques - Mathematics Preprint Series
dc.subject.classificationK-teoria
dc.subject.classificationVarietats algebraiques
dc.subject.otherUniversitat de Barcelona. Institut de Matemàtica
dc.titleHiguer bott Chern forms and Beilinson's regulatorca
dc.typeinfo:eu-repo/semantics/articleca
dc.typeinfo:eu-repo/semantics/submittedVersion

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