activity
19972023
most citedTopological polylogarithms and -adic interpolation of -values of totally real fields

22 citations · 70 across the 15 of their papers we have counts for

collaborators

18 papers

math.AG2023★ 2 cited

Height pairing and nearby cycles

Alexander Beilinson

We prove that, as was conjectured by Spencer Bloch, the Hodge period of some limit Hodge structures equals the height pairing of algebraic cycles on the resolution of singularities…

math.AG2015★ 7 cited

Constructible sheaves are holonomic

Alexander Beilinson

We show that for any constructible sheaf F on a smooth algebraic variety X over a field of arbitrary characteristic its singular support SS(F) is equidimensional of dimension dim X…

math.HO2015

I.M.Gelfand and his seminar -- a presence

Alexander Beilinson

These are reminiscences of I.M.Gelfand's mathematical seminar of 1970s-1980s. The essay will appear in the March 2016 issue of Notices of the AMS.

math.NT2014★ 22 cited

Topological polylogarithms and -adic interpolation of -values of totally real fields

Alexander Beilinson, Guido Kings, Andrey Levin

We develop the topological polylogarithm which provides an integral version of Nori's Eisenstein cohomology classes for and yields classes with values in an Iwas…

math.AG2013★ 8 cited

Relative continuous K-theory and cyclic homology

Alexander Beilinson

We show that for an associative algebra A and its ideal I such that the I-adic topology on A coincides with the p-adic topology, the relative continuous K-theory pro-spectrum "lim"…

math.NT2012

On a theorem of Kisin

Alexander Beilinson, Floric Tavares Ribeiro

The note provides a simple proof of Kisin's theorem about the restriction of crystalline representations to certain subgroup of the Galois group.