A. Gorinov

collaborators

3 papers

math.AG2026

Affine models for Noetherian schemes

Alexey G. Gorinov, Egor S. Kosolapov

Let $S$ be a base scheme, assumed separated and Noetherian. We define \emph{adequate classes} of morphisms of $S$ -schemes by formalizing certain properties of homotopy equivalences…

math.AT2026

Binomial rings, and integral homology of complements of compact toric arrangements

Alexey G. Gorinov, Alexander V. Zakharov

An \emph{affine subtorus} of the compact torus $T = (S^{1})^{n}$ is a translated copy of a Lie subgroup. Given a finite collection $T_{1}, \dots, T_{k}$ of such subtori, and a prime $p$ , we…

math.NT2025

Combinatorics of double cosets and fundamental domains for the subgroups of the modular group

Alexey G. Gorinov, Isaac C. Kalinkin

As noticed by R.~Kulkarni, the conjugacy classes of subgroups of the modular group correspond bijectively to bipartite cuboid graphs. We'll explain how to recover the graph corresp…