A note on polyhedral cones and toric polylogarithms
Abstract
We extend some methods of our previous work on special elements in Milnor K-theory of algebraic tori, exhibiting in particular a GLn(Q)-equivariant isomorphism between a chain complex of simplicial cones, computing the homology of Sn-1, and the trace-fixed part of the weight-n Gersten complex for the Milnor K- theory of Gmn over Q. Via a relationship between graded pieces of algebras of cones and Steinberg modules, this refines a result of Charlton-Radchenko-Rudenko.
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