Higher Bott-Chern forms and Beilinson's regulator

被引：0

作者：

Jose Ignacio Burgos

Steve Wang

机构：

[1] Departament D'Àlgebra i Geometria. Universitat de Barcelona,

[2] Gran Via 585,undefined

[3] E-08007 Barcelona,undefined

[4] Spain (e-mail burgos@cerber.mat.ub.es),undefined

[5] 700 E. Henry Clay,undefined

[6] Apt. 7 Milwaukee,undefined

[7] WI 53217,undefined

[8] USA,undefined

来源：

Inventiones mathematicae | 1998年 / 132卷

关键词：

Exact Sequence; Vector Bundle; Algebraic Variety; Characteristic Classis; Smooth Complex;

D O I：

暂无

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学科分类号：

摘要：

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.

引用

页码：261 / 305

页数：44