摘要翻译：
本文证明了光滑复射影簇上平坦丛的Chern-Simons类，特别是Deligne Chern类(>1$)是扭转的Reznikov定理的推广。考虑了光滑拟射影簇在无穷远处具有不可约光滑因子的情形。定义了无穷远处具有单幂单数的平面向量丛的Deligne正则扩张的Chern-Simons类，它提升了Deligne Chern类，并证明了这些类是扭转的。
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英文标题：
《Regulators of canonical extensions are torsion: the smooth divisor case》
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作者：
Jaya N. Iyer (IMSC, Ias), Carlos T. Simpson (JAD)
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最新提交年份：
2007
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  In this paper, we prove a generalization of Reznikov's theorem which says that the Chern-Simons classes and in particular the Deligne Chern classes (in degrees $>1$) are torsion, of a flat bundle on a smooth complex projective variety. We consider the case of a smooth quasi--projective variety with an irreducible smooth divisor at infinity. We define the Chern-Simons classes of Deligne's canonical extension of a flat vector bundle with unipotent monodromy at infinity, which lift the Deligne Chern classes and prove that these classes are torsion.
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PDF链接：
https://arxiv.org/pdf/0707.0372