Department Mathematik
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Papers

Papers

  • J-invariant of linear algebraic groups of outer type (with N. Semenov), Preprint 2022, arxiv link
  • The J-invariant over splitting fields of Tits algebras, to appear in Compositio Math., arxiv link
  • Critical varieties and motivic equivalence of algebras with involution (with C. De Clercq and A. Quéguiner-Mathieu ), Transactions of the AMS, 375 no 11 (2022) 7529--7552, arxiv link
  • Hasse principle for Rost motives (with M. Borovoi and N. Semenov), Int. Math. Res. Not., volume 2021, issue 6 (2021), 4231-4254, arxiv link
  • Integral motives, relative Krull-Schmidt principle, and Maranda-type theorems (with N. Semenov), Math. Ann. 363 (2015), issue 1, 61-75, arxiv link
  • Isotropy of unitary involution (with N. Karpenko), Acta Math. 211 (2013), no. 2, 227--253. , arxiv link
  • Decompositions of motives of generalized Severi-Brauer varieties, Documenta Math. 17 (2012), 151-165, journal link
  • Motivic decomposability of generalized Severi-Brauer varieties, C.R. Math. Acad. Sci. Paris 348, 17-18 (2010), 989-992.