5 papers
Chow dilogarithm and strong Suslin reciprocity law
Vasily Bolbachan
We prove a conjecture of A. Goncharov concerning strong Suslin reciprocity law. The main idea of the proof is the construction of the norm map on so-called lifted reciprocity maps.…
The norm map on the Bloch group for quadratic extensions
Vasily Bolbachan
D. Rudenko proved the homotopy invariance of the truncated polylogarithmic complexes. It follows that on these complexes there is the norm map with good proprieties. We apply his r…
Periods of cubic surfaces with the automorphism group of order 54
Vasily Bolbachan
To any cubic surface, one can associate a cubic threefold given by a triple cover of branched in this cubic surface. D. Allcock, J. Carlson, and D. Toledo used this c…
On functional equations for the elliptic dilogarithm
Vasily Bolbachan
Let be an elliptic curve over an algebraically closed field of characteristic 0. We prove that the pre-Bloch group of the function field of can be generated by the function…
Rational approximants for the Euler-Gompertz constant
Vasily Bolbachan
We obtain two sequences of rational numbers which converge to the Euler-Gompertz constant. Denote by <f(x)> the integral of f(x)e^{-x} from 0 to infinity. Recall that the Euler-Gom…