8 citations · 8 across the 2 of their papers we have counts for
3 papers
math.CV2025
Variational formula in the Schottky model of Riemann surfaces
Andrei Bogatyrev
A simple and efficient formula is proposed for varying Abelian integrals (including their periods) under variation of the generators of the classical Schottky group representing a…
math.CV2016★ 8 cited
Conformal mapping of rectangular heptagons II
A. B. Bogatyrev, O. A. Grigor'ev
A new analytical method for the conformal mapping of a rectangular heptagon with a straight angle at infinity to a half plane and back is proposed. The method is based on the obser…
math.GT2016
Combinatorial analysis of the period mapping: topology of 2D fibers
Andrei Bogatyrev
We study the periods mapping from the moduli space of real hyperelliptic curves with marked point on an oriented oval to the euclidean space. The mapping arises in the analysis of…