# name
Higuer bott Chern forms and Beilinson's regulator

# metadata.dc.description[].value
Preprint enviat per a la seva publicació en una revista científica: Inventiones mathematicae, 1998, vol. 132, pp. 261–305. [https://doi.org/10.1007/s002220050224]

# metadata.dc.description.abstract[].value
In 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.

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Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 37.15]

# metadata.dc.source[].value
Preprints de Matemàtiques - Mathematics Preprint Series

# metadata.dc.subject.other[].value
Universitat de Barcelona. Institut de Matemàtica

# metadata.dc.title[].value
Higuer bott Chern forms and Beilinson's regulator