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math.AGAug 21, 2017
7
citations (OpenAlex)
authors
  • Andrew Kresch
  • Yuri Tschinkel
arXiv abstractPDF
paper

Models of Brauer-Severi surface bundles

arXiv:1708.06277

Abstract

We study Brauer-Severi surface bundles over smooth projective varieties via root stacks, with a view towards applications to failure of stable rationality.

arXiv comment50 pages

References in corpus (9)

  • Unirational threefolds with no universal codimension 2 cycle
  • Twisted sheaves and the period-index problem
  • A Luna étale slice theorem for algebraic stacks
  • Existence and properties of geometric quotients
  • Canonical embedded and non-embedded resolution of singularities for excellent two-dimensional schemes
  • Étale dévissage, descent and pushouts of stacks
  • On stable rationality of Fano threefolds and del Pezzo fibrations
  • Specialization of birational types
  • Stable rationality of del Pezzo fibrations of low degree over projective spaces

Cited by in corpus (4)

  • Involution surface bundles over surfaces
  • Stable rationality of Brauer-Severi surface bundles
  • Brauer groups of involution surface bundles
  • Geometric Brauer residue via root stacks
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