Spherical varieties and Wahl's conjecture

DOI10.5802/aif.2864zbMath1325.14070arXiv1202.3236OpenAlexW2964001264WikidataQ123024906 ScholiaQ123024906MaRDI QIDQ486776

Nicolas Perrin

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3236

zbMATH Keywords

spherical varietiesFrobenius splittingWahl's conjecture

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Cohomology theory for linear algebraic groups (20G10) Compactifications; symmetric and spherical varieties (14M27)

Cites Work

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• Maximal compatible splitting and diagonals of Kempf varieties
• Invariants of unipotent radicals
• Wahl's conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians
• Gaussian maps and tensor products of irreducible representations
• Frobenius splittings and blow-ups
• Compactification of symmetric varieties
• On spherical double cones
• Frobenius splitting methods in geometry and representation theory
• A proof of Wahl's conjecture in the symplectic case
• On rationality properties of involutions of reductive groups
• Wahl's conjecture for a minuscule \(G/P\)
• Opération de groupes réductifs dans un type de cônes presque homogènes
• On Wahl's Conjecture for the Grassmannians in Positive Characteristic
• Proof of Wahl's Conjecture on Surjectivity of the Gaussian Map for Flag Varieties

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