Grothendieck’s simultaneous resolution and the Springer correspondence: Addendum
نویسنده
چکیده
1.1 Small and semismall maps Let f : X → Y be a proper surjective map of varieties with X nonsingular. We say that a decomposition of Y = ⊔ k Sk into finitely many non-singular locally closed subvarieties Sk is a stratification relative to f if each restriction f : f(Sk)→ Sk is a topological locally trivial fibration. Proposition 1.1. The following conditions are equivalent. (a) Rf∗CX [dimX] is a perverse sheaf on Y , (b) dimX × Y X ≤ dimX, or
منابع مشابه
Grothendieck’s simultaneous resolution and the Springer correspondence
1.1 Symplectic structure on the cotangent bundle Let G be a semisimple algebraic group with Lie algebra g. Fix a Borel subgroup B of G, and let B = G/B be the corresponding flag variety. The cotangent bundle T ∗B comes equipped with symplectic form ω = dλ defined as follows. For x ∈ B and α ∈ T ∗ xB, let π : T ∗B → B be the projection and π∗ : TαT ∗B → TxB be its differential. Then, for ξ ∈ TαT...
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Robin Faivre 1,2,*, Jérôme Colin 1 and Massimo Menenti 2,3 1 ICube Laboratory, UMR 7357 CNRS-University of Strasbourg, F-67412 Illkirch Cedex, France; [email protected] 2 Department of Geoscience and Remote Sensing (GRS), Delft University of Technology, 2628 CN Delft, The Netherlands; [email protected] 3 State Key Laboratory of Remote Sensing Science, Institute of Remote Sensing and Digital...
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