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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1984, Volume 165

| General information | Contents |


Algebraic geometry and its applications


Collection of articles

Preface
3
Hecke operators and representations of binary quadratic forms
A. N. Andrianov
4
Analytic sections in conic bundles
F. A. Bogomolov
16
Arrangement of subgroups in the general linear group over a commutative ring
Z. I. Borevich, N. A. Vavilov
24
Even unimodular extremal lattices
B. B. Venkov
43
Poisson brackets and complex tori
A. P. Veselov, S. P. Novikov
49
$G$-dimension and generalized perfect ideals
E. S. Golod
62
Generators and relations in the groups of birational automorphisms of two classes of rational surfaces
V. A. Iskovskikh
67
Invariant lattices of type $G_2$ and their groups of automorphisms
A. I. Kostrikin, I. A. Kostrikin, V. A. Ufnarovskii
79
New exact solutions and cohomological analysis of ordinary and supersymmetric Yang–Mills equations
Yu. I. Manin
98
The group $K_2$ for a local field
A. S. Merkur'ev
115
$K3$ surfaces with a finite group of automorphisms and a Picard group of rank three
V. V. Nikulin
119
Local class field theory
A. N. Parshin
143
Multiplicative structure of division algebras over number fields and the Hasse norm principle
V. P. Platonov, A. S. Rapinchuk
171
Homology of $\mathrm{GL}_n$, characteristic classes and Milnor $K$-theory
A. A. Suslin
188
Local and global invariants of a four-dimensional pseudo-Riemannian manifold
A. N. Tyurin
205
Representations of lattices over division rings
A. V. Yakovlev
220


© Steklov Math. Inst. of RAS, 2025