A simple construction of Grassmannian polylogarithms
نویسنده
چکیده
The classical n-logarithm is a multivalued analytic function defined by induction as
منابع مشابه
Grassmannian Trilogarithms
Abstract. In the previous works of the ¢rst author, two completely different constructions of single valued Grassmannian trilogarithms were given. One of the constructions, in Math. Res. Lett. 2 (1995), 99^114, is very simple and provides Grassmannian n-logarithms for all n. However its motivic nature is hidden. The other construction in Adv. in Math. 114 (1995), 197^318, is very explicit and m...
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It’s well known that multiple polylogarithms give rise to good unipotent variations of mixed Hodge-Tate structures. In this paper we shall explicitly determine these structures related to multiple logarithms and some other multiple polylogarithms of lower weights. The purpose of this explicit construction is to give some important applications: First we study of the limit mixed Hodge-Tate struc...
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تاریخ انتشار 2009