Weyl group covers for Brieskorn's resolutions in all characteristics and the integral cohomology of \(G/P\)

DOI10.1307/mmj/1593741747zbMath1487.14009arXiv1711.10439OpenAlexW3009009458MaRDI QIDQ2238456

N. I. Shepherd-Barron

Publication date: 1 November 2021

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.10439

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Group actions on varieties or schemes (quotients) (14L30) Grassmannians, Schubert varieties, flag manifolds (14M15) Singularities of surfaces or higher-dimensional varieties (14J17) Actions of groups on commutative rings; invariant theory (13A50) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Deformations of singularities (14B07) Positive characteristic ground fields in algebraic geometry (14G17)

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Cites Work

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• Arithmetic moduli and lifting of Enriques surfaces
• The integral cohomology ring of \(E_{8}/T\)
• On linearizing algebraic torus actions
• Simple singularities and simple algebraic groups
• Simultaneous resolution and discriminantal loci
• Enriques surfaces. I
• Algebraic construction of Brieskorn's resolutions
• The integral cohomology ring of \(F_4/T\) and \(E_6/T\)
• The Deligne-Illusie theorem and exceptional Enriques surfaces
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Resolution of singularities of plane deformations of double rational points
• Les immeubles des groupes de tresses généralises
• Invariants symétriques entiers des groupes de Weyl et torsion
• Schubert presentation of the cohomology ring of flag manifolds
• On the Torelli problem for kählerian $K-3$ surfaces
• SCHUBERT CELLS AND COHOMOLOGY OF THE SPACESG/P
• Del Pezzo surfaces as Springer fibres for exceptional groups
• A non-Hausdorff model for the complement of a complexified hyperplane arrangement
• On simple groups and simple singularities