Olivier Haution

Papers

• Fixed locus dimension of diagonalizable p-groups
  [arXiv:2412.02483]
• The geometric concentration theorem
  [arXiv:2308.05651]
• (with J. Fasel) The stable Adams operations on Hermitian K-theory
  Geom. Topol. 29 (2025), no. 1, 127–169
  [arXiv:2005.08871] [publication]
• Motivic Pontryagin classes and hyperbolic orientations
  J. Topol. 16 (2023), no. 4, 1423–1474
  [arXiv:2203.06017] [publication]
• Odd rank vector bundles in eta-periodic motivic homotopy theory
  J. Inst. Math. Jussieu (2023), 1–32
  [arXiv:2203.06021] [publication]
• On the algebraic cobordism ring of involutions
  Ann. Sci. Éc. Norm. Supér. (4) 56 (2023), no. 4, 981–1028,
  [arXiv:2008.11534] [publication]
• (with A. S. Merkurjev) Connective K-theory and Adams operations
  EMS Surv. Math. Sci. 8 (2021), no.1-2, 135–162
  [arXiv:2001.05882] [publication]
• Involutions and Chern numbers of varieties
  Comment. Math. Helv. 95 (2020), no.4, 811–843
  [arXiv:1903.07304] [publication]
• Diagonalisable p-groups cannot fix exactly one point on projective varieties
  J. Algebraic Geom. 29 (2020), 373–402
  [arXiv:1612.07663] [publication]
• Fixed point theorems involving numerical invariants
  Compos. Math. 155 (2019), no. 2, 260–288
  [arXiv:1802.01407] [publication]
• On rational fixed points of finite group actions on the affine space
  Trans. Amer. Math. Soc. 369 (2017), 8277–8290
  [arXiv:1507.04582] [publication]
• Involutions of varieties and Rost's degree formula
  J. Reine Angew. Math. 745 (2018), 231–252
  [arXiv:1403.3604] [publication]
• Detection by regular schemes in degree two
  Algebr. Geom. 2 (2015), no. 1, 44–61
  [arXiv:1307.5628] [publication]
• Invariants of upper motives
  Doc. Math. 18 (2013), 1555–1572
  [arXiv:1208.2586] [publication]
• Integrality of the Chern character in small codimension
  Adv. Math. 231 (2012), no. 2, 855–878
  [arXiv:1103.4084] [publication]
• Degree formula for the Euler characteristic
  Proc. Amer. Math. Soc. 141 (2013), no. 6, 1863–1869
  [arXiv:1103.4076] [publication]
• Duality and the topological filtration
  Math. Ann. 357 (2013), no. 4, 1425–1454
  [arXiv:1006.1482] [publication]
• Reduced Steenrod operations and resolution of singularities
  J. K-Theory 9 (2012), no. 2, 269–290
  [arXiv:1006.1480] [publication]
• On the first Steenrod square for Chow groups
  Amer. J. Math. 135 (2013), no. 1, 53–63
  [arXiv:2501.06199] [publication]
• Lifting of coefficients for Chow motives of quadrics
  Quadratic forms, linear algebraic groups, and cohomology, 239–247, Dev. Math., 18, Springer, New York, 2010
  [arXiv:2501.06200] [publication]
• Steenrod operations and quadratic forms
  PhD thesis at Paris 6 (advisor: Nikita Karpenko)
  [pdf]