M. Kornev

collaborators

5 papers

math.GR2026

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.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 formal group laws whose modulus square construction yields Buchstaber's family of polynomials. This class is related to, but does not coincide with, the…

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…

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

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

Buchstaber, Ochanine, Krichever, and Witten genera

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

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

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