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Generically split projective homogeneous varieties. II

  • Victor Petrov (a1) and Nikita Semenov (a2)

This article gives a complete classification of generically split projective homogeneous varieties. This project was begun in our previous article [PS10], but here we remove all restrictions on the characteristic of the base field, give a new uniform proof that works in all cases and in particular includes the case PGO2n+ which was missing in [PS10].

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Ch10. V. Chernousov , On the kernel of the Rost invariant for E8modulo 3, In Quadratic Forms, Linear Algebraic Groups, and Cohomology, Developments in Mathematics 18 (2010), Part 2, 199214.

Kc85. V. Kac , Torsion in cohomology of compact Lie groups and Chow rings of reductive algebraic groups, Invent. Math. 80 (1985), 6979.

PS10. V. Petrov , N. Semenov , Generically split projective homogeneous varieties, Duke Math. J. 152 (2010), 155173.

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Journal of K-Theory
  • ISSN: 1865-2433
  • EISSN: 1865-5394
  • URL: /core/journals/journal-of-k-theory
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