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math.AG2026
Localization and elliptic motivic relations
Peter Xu
We observe that the motivic analogue of Suslin reciprocity (and similar degree-zero statements) is a formal consequence of localization (plus purity/some six functor formalism). In…
math.RT2026
Presenting restricted Steinberg modules of general linear groups
Peter Xu
We give generators and presentations for various local restrictions of Steinberg modules over fields and relate them to \emph{partial} Borel--Serre compactifications of locally sym…
math.KT2026
A note on polyhedral cones and toric polylogarithms
Peter Xu
We extend some methods of our previous work on special elements in Milnor K-theory of algebraic tori, exhibiting in particular a -equivariant isomorphism…
math.AG2026
A note on cubical Bloch--Levine cycle complexes
Peter Xu
We check that Levine's simplicial--cubical comparison argument for Bloch's cycle complexes also works over an arbitrary DVR. As a result, the sheaf of cubical Bloch cycle complexes…