23 citations · 220 across the 53 of their papers we have counts for
4 papers · 1 filter
The resultant on compact Riemann surfaces
B. Gustafsson, V. Tkachev
We introduce a notion of resultant of two meromorphic functions on a compact Riemann surface and demonstrate its usefulness in several respects. For example, we exhibit several int…
Algebraic structure of quasiradial solutions to the -harmonic equation
Vladimir Tkachev
We obtain an explicit representation for quasiradial -harmonic functions, which shows that these functions have essentially algebraic nature. In particular, we give a complete d…
Positive definite collections of disks
Vladimir Tkachev
Let . M. Putinar and B. Gustafsson proved recently that the matrix , , is positive definite i…
Ullemar's formula for the moment map, II
Vladimir Tkachev
We establish the complex analogue of Ullemar's formula for polynomial domains. We show that the Jacobian of the complex moment mapping is equal to the self-resultant of the definin…