11 citations · 16 across the 12 of their papers we have counts for
13 papers
Logarithm of the Universal Two-Valued Formal Group
Victor Buchstaber, Mikhail Kornev
We solve the long-standing problem of determining the exact denominators of the coefficients of the logarithm , obtained from the universal formal g…
Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE
Victor Buchstaber, Mikhail Kornev, Vladimir Rubtsov
We show that the associativity condition of the universal symmetric 2-algebraic 2-valued group defined by the Buchstaber polynomial admits several mutually equivalent interpretatio…
Cohomology of symplectic - reductions and compactifications of
Victor M. Buchstaber, Svjetlana Terzić
A symplectic - reduction on a complex Grassmann manifold for the canonical action of the maximal compact torus depends on the - orbit of a maximal chamber in…
Algebraic topology of the Lagrange inversion
Victor M. Buchstaber, Alexander P. Veselov
The Lagrange inversion formula for power series is one of the classical formulas from analysis and combinatorics. A nice geometric interpretation of this formula in terms of the St…
Algebraic -Valued Monoids on , Discriminants and Projective Duality
Victor Buchstaber, Mikhail Kornev
In this work, we establish connections between the theory of algebraic -valued monoids and groups and the theories of discriminants and projective duality. We show that the comp…
Sigma function associated with a hyperelliptic curve with two points at infinity
Takanori Ayano, Victor M. Buchstaber
Baker constructed basic meromorphic functions on the Jacobian variety of a hyperelliptic curve with two points at infinity. We call them Baker functions. The construction is based…