Chern forms of singular metrics on vector bundles
نویسندگان
چکیده
منابع مشابه
Chern classes of automorphic vector bundles
1.1. Suppose X is a compact n-dimensional complex manifold. Each partition I = {i1, i2, . . . , ir} of n corresponds to a Chern number c (X) = ǫ(c1(X)∪c2(X)∪. . .∪cr(X)∩[X]) ∈ Z where c(X) ∈ H(X;Z) are the Chern classes of the tangent bundle, [X] ∈ H2n(X;Z) is the fundamental class, and ǫ : H0(X;Z) → Z is the augmentation. Many invariants of X (such as its complex cobordism class) may be expres...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2018
ISSN: 0001-8708
DOI: 10.1016/j.aim.2017.12.009