1 citations · 2 across the 8 of their papers we have counts for
8 papers
Affine models for Noetherian schemes
Alexey G. Gorinov, Egor S. Kosolapov
Let be a base scheme, assumed separated and Noetherian. We define \emph{adequate classes} of morphisms of -schemes by formalizing certain properties of homotopy equivalences…
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 is a translated copy of a Lie subgroup. Given a finite collection of such subtori, and a prime , we…
Two-sided fundamental theorem of affine geometry
A. G. Gorinov
The fundamental theorem of affine geometry says that a self-bijection of a finite-dimensional affine space over a possibly skew field takes left affine subspaces to left affine…
Conical resolutions and cohomology of the moduli spaces of nodal hypersurfaces
A. S. Berdnikov, A. G. Gorinov, N. S. Konovalov
A projective hypersurface is nodal if it does not have singularities worse than simple nodes. We calculate the rational cohomology of the spaces of equations of nodal cubic and qua…
Rational cohomology of the moduli spaces of pointed genus 1 curves
Alexey G. Gorinov
We give a combinatorial description of the rational cohomology of the moduli spaces of pointed genus 1 curves with marked points and level structures. More precisely, we ex…
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…