Relative Bott-Chern Secondary Characteristic Classes
نویسنده
چکیده
In this paper, we introduce six axioms for relative Bott-Chern secondary characteristic classes and prove the uniqueness and existence theorem for them. Such a work provides us a natural way to understand and hence to prove the arithmetic Grothendieck-Riemann-Roch theorem.
منابع مشابه
On the arithmetic Chern character
of the underlying vector bundles on X , (i.e. in which we ignore the hermitian metrics). Then the difference ĉh(E0) + ĉh(E2)− ĉh(E1), is represented by a secondary characteristic class c̃h first introduced by Bott and Chern [1] and defined in general in [2]. These Bott-Chern forms measure the defect in additivity of the Chern forms associated by Chern-Weil theory to the hermitian bundles in the ...
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