Vol. 318, No. 1, 2022

Proceedings of the Steklov Institute of Mathematics

Homology of the \(M\kern-1pt SU\) Spectrum

Semyon A. Abramyan p. 1 abstract

Homogeneous Algebraic Varieties and Transitivity Degree

Ivan V. Arzhantsev, Yulia I. Zaitseva, and Kirill V. Shakhmatov p. 13 abstract

Graded Components of the Lie Algebra Associated with the Lower Central Series of a Right-Angled Coxeter Group

Ya. A. Veryovkin p. 26 abstract

Orbits of the Automorphism Group of Horospherical Varieties, and Divisor Class Group

Sergey A. Gaifullin p. 38 abstract

Any Suspension and Any Homology Sphere Are \(2H\)-Spaces

D. V. Gugnin p. 45 abstract

The Euler Characteristic of a Complete Intersection in Terms of the Newton Polyhedra Revisited

S. M. Gusein-Zade p. 59 abstract

Delone Sets and Tilings: Local Approach

N. P. Dolbilin, and M. I. Shtogrin p. 65 abstract

Cohomological Rigidity of Families of Manifolds Associated with Ideal Right-Angled Hyperbolic 3-Polytopes

Nikolai Yu. Erokhovets p. 90 abstract

Generalized Virtual Polytopes and Quasitoric Manifolds

Ivan Yu. Limonchenko, Leonid V. Monin, and Askold G. Khovanskii p. 126 abstract

Homology and Cohomology of the Lamplighter Lie Algebra

D. V. Millionshchikov p. 150 abstract

Toric Surfaces with Reflection Symmetries

Jongbaek Song p. 161 abstract

On the Component Group of a Real Algebraic Group

Dmitry A. Timashev p. 175 abstract