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Prof. Dr. Nikita Karpenko

Karpenko, Prof. Dr. Nikita

University of Alberta, Canada
Field of research: Algebra
Host: Prof. Dr. Marc Noel Levine Universität Duisburg-Essen
  • Nikita Karpenko: Incompressibility of generic torsors of norm tori. In: Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) . 414, 2013, p. 106 - 112 [Algebraic tori, toric varieties, incompressibility, Chow groups and Steenrod operations.].

  • Nikita Karpenko: Orthogonal and symplectic grassmannians of division algebras. In: J. Ramanujan Math. Soc.. 28, 2013, p. 213 - 222 [Algebraic groups, quadratic forms, projective homogeneous varieties, Chow groups and motives.].

  • Nikita Karpenko: Sufficiently generic orthogonal grassmannians. In: J. Algebra. 372, 2012, p. 365 - 375 [Algebraic groups, quadratic forms, projective homogeneous varieties, Chow groups and motives.].

  • Nikita Karpenko, Alexander Merkurjev: On standard norm varieties. In: Ann. Sci. Éc. Norm. Supér. (4). 46, 2013, p. 175 - 214 [Norm varieties, Chow groups and motives, Steenrod operations.].

  • Nikita Karpenko: Unitary grassmannians. In: J. Pure Appl. Algebra. 216, 2012, p. 2586 - 2600 [Algebraic groups, hermitian and quadratic forms, projective homogeneous varieties, Chow groups and motives].

  • Nikita Karpenko: Variations on a theme of rationality of cycles. In: Cent. Eur. J. Math. . 11, 2013, p. 1056 - 1067 [Chow groups, quadrics, Steenrod operations, u-invariant.].

  • Nikita Karpenko, Maksim Zhykhovich: Incompressibility of orthogonal grassmannians. In: Acta Math.. 211, 2013, p. 227 - 253 [Algebraic groups, involutions, projective homogeneous varieties, Chow groups and motives, Steenrod operations. M].

  • Prof. Dr. Nikita Karpenko: Incompressibility of products of Weil transfers of generalized Severi-Brauer varieties. In: Math. Z.. 279, 2015, p. 767 - 777 [Central simple algebras, algebraic groups, projective homogeneous varieties, Severi-Brauer varieties, Weil transfer, Chow groups and motives, canonical dimension and incompressibility.].


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