Merkurjev Alexander Sergeevich

Publications in Math-Net.Ru

1. Rationality Problem for Classifying Spaces of Spinor Groups
   
   Trudy Mat. Inst. Steklova, 307 (2019),  132–141
2. Cohomological invariants of central simple algebras
   
   Izv. RAN. Ser. Mat., 80:5 (2016),  61–76
3. Rational surfaces and the canonical dimension of $\mathbf{PGL}_6$
   
   Algebra i Analiz, 19:5 (2007),  159–178
4. Invariants of quasitrivial tori and the Rost invariant
   
   Algebra i Analiz, 14:5 (2002),  110–151
5. Comparison of the equivariant and the standard $K$-theory of algebraic varieties
   
   Algebra i Analiz, 9:4 (1997),  175–214
6. The group $H^1(X,\mathcal K)$ for projective homogeneous varieties
   
   Algebra i Analiz, 7:3 (1995),  136–164
7. The norm principle for algebraic groups
   
   Algebra i Analiz, 7:2 (1995),  77–105
8. Zero cycles on some involution varieties
   
   Zap. Nauchn. Sem. POMI, 227 (1995),  93–105
9. Simple algebras and quadratic forms
   
   Izv. Akad. Nauk SSSR Ser. Mat., 55:1 (1991),  218–224
10. Chow groups of projective quadrics
    
    Algebra i Analiz, 2:3 (1990),  218–235
11. The group $K_3$ for a field
    
    Izv. Akad. Nauk SSSR Ser. Mat., 54:3 (1990),  522–545
12. The norm residue homomorphism of degree three
    
    Izv. Akad. Nauk SSSR Ser. Mat., 54:2 (1990),  339–356
13. Generators and relations of the Brauer group of a field
    
    Trudy Mat. Inst. Steklov., 183 (1990),  139–144
14. On Kaplansky's conjecture in quadratic form theory
    
    Zap. Nauchn. Sem. LOMI, 175 (1989),  75–89
15. The group $SK_2$ for quaternion algebras
    
    Dokl. Akad. Nauk SSSR, 298:3 (1988),  548–550
16. The group $SK_2$ for quaternion algebras
    
    Izv. Akad. Nauk SSSR Ser. Mat., 52:2 (1988),  310–335
17. On torsion in the Milnor $K$-groups of fields
    
    Mat. Sb. (N.S.), 131(173):1(9) (1986),  94–112
18. On the structure of the Brauer group of fields
    
    Izv. Akad. Nauk SSSR Ser. Mat., 49:4 (1985),  828–846
19. The group $K_2$ for a local field
    
    Trudy Mat. Inst. Steklov., 165 (1984),  115–118
20. Torsion in the group $K_{2}$ for a local field
    
    Dokl. Akad. Nauk SSSR, 270:1 (1983),  45–47
21. $K$-cohomology of Severi–Brauer varieties and the norm residue homomorphism
    
    Dokl. Akad. Nauk SSSR, 264:3 (1982),  555–559
22. Cohomology of Severi–Brauer varieties and the norm residue homomorphism
    
    Izv. Akad. Nauk SSSR Ser. Mat., 46:5 (1982),  1011–1046
23. On the norm residue symbol of degree $2$
    
    Dokl. Akad. Nauk SSSR, 261:3 (1981),  542–547
24. On projective modules over rings of invariants
    
    Zap. Nauchn. Sem. LOMI, 103 (1980),  90–95
25. A seven-term sequence in the Galois theory of schemes
    
    Mat. Sb. (N.S.), 109(151):3(7) (1979),  395–409
26. Exact sequences in the Galois theory of rings
    
    Zap. Nauchn. Sem. LOMI, 94 (1979),  104–111
27. The seven-term sequence in the Galois theory of rings
    
    Zap. Nauchn. Sem. LOMI, 75 (1978),  127–142
28. On the embedding problem with a non-Abelian kernel
    
    Izv. Akad. Nauk SSSR Ser. Mat., 41:5 (1977),  1043–1052


29. 80 anniversary of Professor Anatolii Vladimirovich Yakovlev
    
    Zap. Nauchn. Sem. POMI, 492 (2020),  5–9
30. Vladimir Aleksandrovich Voevodsky (obituary)
    
    Uspekhi Mat. Nauk, 73:3(441) (2018),  157–168
31. Anatolii Vladimirovich Yakovlev
    
    Zap. Nauchn. Sem. POMI, 272 (2000),  5–13