Birational moduli and nonabelian cohomology, II
A. Buium (1989)
Compositio Mathematica
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Displaying similar documents to “Birational moduli and nonabelian cohomology”
Birational moduli and nonabelian cohomology, II
Serre–Tate theory for moduli spaces of PEL type
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Vanishing of Hochschild cohomology for affine group schemes and rigidity of homomorphisms between algebraic groups.
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Geometric and categorical nonabelian duality in complex geometry
Siegmund Kosarew (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The Leitmotiv of this work is to find suitable notions of dual varieties in a general sense. We develop the basic elements of a duality theory for varieties and complex spaces, by adopting a geometric and a categorical point of view. One main feature is to prove a biduality property for each notion which is achieved in most cases.
A dimension formula for Ekedahl-Oort strata
Ben Moonen (2004)
Annales de l’institut Fourier
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We study the Ekedahl-Oort stratification on moduli spaces of PEL type. The strata are indexed by the classes in a Weyl group modulo a subgroup, and each class has a distinguished representative of minimal length. The main result of this paper is that the dimension of a stratum equals the length of the corresponding Weyl group element. We also discuss some explicit examples.