Foliations in moduli spaces of abelian varieties

DOI10.1090/S0894-0347-04-00449-7zbMath1041.14018arXivmath/0207050OpenAlexW1842893290MaRDI QIDQ4461093

Frans Oort

Publication date: 29 March 2004

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207050

zbMATH Keywords

Newton polygonmoduli spaces\(p\)-divisible groupspolarized abelian varietiescentral leafisogeny leavesTate group

Mathematics Subject Classification ID

Algebraic moduli of abelian varieties, classification (14K10) Formal groups, (p)-divisible groups (14L05)

Related Items (39)

On central leaves of Hodge-type Shimura varieties with parahoric level structure ⋮ Ekedahl-Oort and Newton strata for Shimura varieties of PEL type ⋮ Correspondences without a core ⋮ Serre-Tate theory for Shimura varieties of Hodge type ⋮ Stratifying Lie strata of Hilbert modular varieties ⋮ Stratifications of Newton polygon strata and Traverso's conjectures for \(p\)-divisible groups ⋮ UNLIKELY INTERSECTIONS IN FINITE CHARACTERISTIC ⋮ Generic Newton polygons of Ekedahl-Oort strata: Oort's conjecture ⋮ The almost product structure of Newton strata in the deformation space of a Barsotti-Tate group with crystalline Tate tensors ⋮ Arithmetic of Shimura varieties. Abstracts from the workshop held January 29 -- February 4, 2023 ⋮ André-Oort type arithmetic brush problems ⋮ The geometry of Newton strata in the reduction modulo \(p\) of Shimura varieties of PEL type ⋮ Monodromy and irreducibility of leaves ⋮ THE DISTRIBUTION OF TORSION SUBSCHEMES OF ABELIAN VARIETIES ⋮ Level 𝑚 stratifications of versal deformations of 𝑝-divisible groups ⋮ Foliations in deformation spaces of local \(G\)-shtukas ⋮ Barsotti-Tate groups and \(p\)-adic representations of the fundamental group scheme ⋮ Truncations of level 1 of elements in the loop group of a reductive group. ⋮ On the boundary components of central streams ⋮ Stratifications in the reduction of Shimura varieties ⋮ Simple mass formulas on Shimura varieties of PEL-type ⋮ Traverso's isogeny conjecture for \(p\)-divisible groups ⋮ De Jong-Oort Purity for p-Divisible Groups ⋮ The Newton stratification on deformations of local G-shtukas ⋮ COMPACTIFICATIONS OF SUBSCHEMES OF INTEGRAL MODELS OF SHIMURA VARIETIES ⋮ Deformation subspaces of $p$-divisible groups as formal Lie groups associated to $p$-divisible groups ⋮ Mass formula and Oort's conjecture for supersingular abelian threefolds ⋮ Moduli spaces of 𝑝-divisible groups ⋮ The product structure of Newton strata in the good reduction of Shimura varieties of Hodge type ⋮ Codimensions of Newton strata for \(\text{SL}_3(F)\) in the Iwahori case. ⋮ Random Dieudonné modules, random -divisible groups, and random curves over finite fields ⋮ Crystalline boundedness principle ⋮ Dimensions of some affine Deligne–Lusztig varieties ⋮ On the boundary components of central streams in the two slopes case ⋮ ON -DIVISIBLE GROUPS WITH SATURATED NEWTON POLYGONS ⋮ \(l\)-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients ⋮ Ekedahl-Oort strata and the first Newton slope strata ⋮ Simple \(p\)-kernels of \(p\)-divisible groups ⋮ On the cohomology of certain PEL-type Shimura varieties

Cites Work

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• Unnamed Item
• Moduli of supersingular abelian varieties
• Newton polygons and formal groups: Conjectures by Manin and Grothendieck
• On the slope filtration.
• Families of \(p\)-divisible groups with constant Newton polygon
• Crystalline Dieudonné module theory via formal and rigid geometry
• Minimal \(p\)-divisible groups
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Commutative group schemes
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Purity of the stratification by Newton polygons
• Period Spaces for "p"-divisible Groups (AM-141)
• The first de Rham cohomology group and Dieudonné modules
• Moduli of abelian varieties

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