M. Kornev

collaborators

7 papers

math.RA2026

$n$ -Valued Analogue of Abel's Theorem

Mikhail Kornev

Abel's classical theorem shows that a continuously differentiable one-dimensional associative law with a two-sided unit is locally equivalent to addition under a change of coordina…

math.AT2026

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 $B (x) = x + \sum_{n \geq 1} b_{n} x^{n + 1}$ , obtained from the universal formal g…

math.AG2026

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…

math.AT2026

Buchstaber, Ochanine, Krichever, and Witten Genera

Mikhail Kornev

We introduce a new class of one-dimensional commutative formal group laws with formal inverse $u ˉ = - u$ whose modulus square construction yields Buchstaber's family of polynomial…

math.GR2025

Algebraic $n$ -Valued Monoids on $C P^{1}$ , Discriminants and Projective Duality

Victor Buchstaber, Mikhail Kornev

In this work, we establish connections between the theory of algebraic $n$ -valued monoids and groups and the theories of discriminants and projective duality. We show that the comp…

math.GR2025

On the Classification of $n$ -Valued Monoids and Groups of Order 3

Mikhail Kornev

The article presents a complete classification of $n$ -valued monoids and groups of order 3. Important corollaries of this result are discussed.

math.GR2025

$n$ -Valued Groups, Kronecker Sums, and Wendt's Matrices

Victor Buchstaber, Mikhail Kornev

The article presents results on the well-known problem concerning the structure of integer polynomials $p_{n} (z; x, y)$ , which define multiplication laws in $n$ -valued groups $\mathb…

n-Valued Analogue of Abel's Theorem

Logarithm of the Universal Two-Valued Formal Group

Two-Valued Groups, Chazy Equation, Dubrovin-Frobenius Structures, and QYBE

Buchstaber, Ochanine, Krichever, and Witten Genera

Algebraic n-Valued Monoids on CP1, Discriminants and Projective Duality

On the Classification of n-Valued Monoids and Groups of Order 3

n-Valued Groups, Kronecker Sums, and Wendt's Matrices

$n$ -Valued Analogue of Abel's Theorem

Algebraic $n$ -Valued Monoids on $C P^{1}$ , Discriminants and Projective Duality

On the Classification of $n$ -Valued Monoids and Groups of Order 3

$n$ -Valued Groups, Kronecker Sums, and Wendt's Matrices