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math.AGSep 1, 2015
33
citations (OpenAlex)
authors
  • Michel Brion
institutions
  • Institut Fourier
arXiv abstractPDF
paper

Some structure theorems for algebraic groups

arXiv:1509.03059

Abstract

These are extended notes of a course given at Tulane University for the 2015 Clifford Lectures. Their aim is to present structure results for group schemes of finite type over a field, with applications to Picard varieties and automorphism groups.

Further minor changes and updates, 74 pages. To appear at Proc. Symp. Pure Math. 94 (2017)

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  • Reductive quotients of klt singularities
  • Perfect points of abelian varieties
  • Effective isotrivial Mordell-Lang in positive characteristic
  • Derived length of zero entropy groups acting on projective varieties in arbitrary characteristic -- A remark to a paper of Dinh-Oguiso-Zhang
  • Equivariant compactifications of vector groups with high index
  • Ga3​-structures on del Pezzo fibrations
  • Quasi-compact group schemes, Hopf sheaves, and their representations
  • On 3-folds having a holomorphic torus action with 6 fixed points
  • Arithmetic Fourier transforms over finite fields: generic vanishing, convolution, and equidistribution
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