Recent Publications and Preprints

by Alexander Merkurjev


 
Merkurjev A.
Essential dimension
                                         
Karpenko N., Merkurjev A.
Essential dimension of finite p-groups
Invent. Math., to appear.
                                         
Merkurjev A.
$R$-equivalence on $3$-dimensional tori and zero-cycles
Algebra & Number Theory, , to appear.
                                         
Merkurjev A.
Unramified elements in cycle modules
                                         
Colliot-Thélène J-L., Karpenko, N., Merkurjev A.
Rational surfaces and canonical dimension of PGL6
Algebra i Analiz, to appear.
                                         
Merkurjev A., Suslin A.
The group of K1-zero-cycles on Severi-Brauer varieties
J. Nova Journal of Algebra and Geometry, 1, no. 3 (1992), 297-315.
                                         
Chernousov V., Merkurjev A.
Connectedness of classes of fields and zero cycles on projective homogeneous varieties
Compositio Mathematica, 142 (2006), no. 6, 1522–1548.
                                         
Karpenko N., Merkurjev A.
Canonical p-dimension of algebraic groups
Adv. Math. 205 (2006), no. 2, 410-433.
                                         
Merkurjev A.
Algebraic Cobordism Theory
Notes of mini-course in Lens, June 2004.
                                         
Chernousov V., Merkurjev A.
Motivic decomposition of projective homogeneous varieties and the Krull-Schmidt theorem
Transformation Groups, 11, no. 3, (2006), 371-386.
                                         
Merkurjev A.
On the norm residue homomorphism of degree two
Proceedings of the St. Petersburg Mathematical Society. Vol. XII, Amer. Math. Soc. Transl. Ser. 2, 219, 103-124, American Mathematical Society, Providence, 2006.
                                         
Merkurjev A.
SK1 for degree 4 simple algebras
$K$-Theory, 37 (2006), 311-319.
                                         
Garibaldi S., Merkurjev A., Serre J-P.
Cohomological Invariants in Galois Cohomology
American Mathematical Society University Lecture Series, 28. American Mathematical Society, Providence, RI, 2003.
                                         
Merkurjev A.
Steenrod operations in algebraic geometry
Notes of mini-course in Lens, June 2003.
                                         
Merkurjev A.
Rational correspondences
                                        
Chernousov V., Gille S., Merkurjev A.
Motivic decomposition of isotropic projective homogeneous varieties
The final version of this article will be published in the Duke Mathematical journal, published by Duke University Press.
                                        
Merkurjev A.
Equivariant K-theory
J. Handbook of $K$-theory. Vol. 1, 2, Springer, Berlin, 925-954, 2005.
                                        
Merkurjev A.
Steenrod operations and degree formulas
J. Reine Angew. Math. 565, 2003, 13-26.
                                        
Karpenko N., Merkurjev A.
Rost projectors and Steenrod operations
Doc. Math., 7 (2002), 481-493 (electronic).
                                        
Karpenko N., Merkurjev A.
Essential dimension of quadrics
Invent. Math., 153 (2003), no. 2, 361-372.
                                        
Merkurjev A.
Algebraic oriented cohomology theories
Algebraic Number Theory and Algebraic Geometry, 171-194, Contemp. Math., 300, Amer. Math. Soc., Providence, R.I., 2002.
                                         
Merkurjev A.
Rost's degree formula
Notes of mini-course in Lens, June 2001.
                                         
Merkurjev A., Parimala R., Tignol J.-P.
Invariants of quasi-trivial tori and the Rost invariant
Algebra i Analiz, 14 (2002), no. 5, 110-151, translation in St.Petersburg Math.J. 14 (2003), no. 5, 791-821.
                                         
Merkurjev A.
Unramified cohomology of classifying varieties for classical
simply connected groups
J. Ann. Sci. Ecole Norm. Sup., 4-e serie, 35 (2002), 445-476.
                                                         
Barquero P., Merkurjev A.
Norm Principle for Reductive Algebraic Groups
J. Proceedings of the International Colloquium on Algebra, Arithmetic and Geometry TIFR, Mumbai, January 4-12, 2000.
                                        
Chernousov V., Merkurjev A.
R-equivalence in spinor groups
J. Amer. Math. Soc., 14 (2001), 509-534.
                                    
Merkurjev A.
Cohomological invariants of simply connected groups of rank 3
Journal of Algebra, 227 (2000), no. 2 , 614-632. 
                                   
Merkurjev A.
Invariants of algebraic groups
J. Reine Angew. Math., 508 (1999), 127-156.