The Newton stratification on deformations of local G-shtukas

DOI10.1515/CRELLE.2011.044zbMath1225.14036arXiv0810.0821MaRDI QIDQ5198592

Eva Viehmann, Urs T. Hartl

Publication date: 8 August 2011

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0821

zbMATH Keywords

Shimura varieties\(p\)-divisible groupsshtukasdeformation spaces

Mathematics Subject Classification ID

Formal groups, (p)-divisible groups (14L05)

Related Items (25)

THE GENERIC FIBRE OF MODULI SPACES OF BOUNDED LOCAL G-SHTUKAS ⋮ Irreducible components of minuscule affine Deligne-Lusztig varieties ⋮ A Short Review on Local Shtukas and Divisible Local Anderson Modules ⋮ Projectivity of the Witt vector affine Grassmannian ⋮ The almost product structure of Newton strata in the deformation space of a Barsotti-Tate group with crystalline Tate tensors ⋮ Compactification of level maps of moduli spaces of Drinfeld shtukas ⋮ On some simple geometric structure of affine Deligne-Lusztig varieties for \(\mathrm{GL}_n\) ⋮ Finiteness properties of affine Deligne-Lusztig varieties ⋮ The universal family of semistable \(p\)-adic Galois representations ⋮ Local shtukas, Hodge-Pink structures and Galois representations ⋮ The geometry of Newton strata in the reduction modulo \(p\) of Shimura varieties of PEL type ⋮ Geometric structure of affine Deligne-Lusztig varieties for \(\mathrm{GL}_3\) ⋮ Ramified automorphic induction and zero-dimensional affine Deligne-Lusztig varieties ⋮ Geometric and homological properties of affine Deligne-Lusztig varieties ⋮ Period spaces for Hodge structures in equal characteristic ⋮ Generic Newton points and the Newton poset in Iwahori-double cosets ⋮ Foliations in deformation spaces of local \(G\)-shtukas ⋮ Truncations of level 1 of elements in the loop group of a reductive group. ⋮ Comparison results for étale cohomology in rigid geometry ⋮ Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes ⋮ Local Shtukas and Divisible Local Anderson Modules ⋮ Cordial elements and dimensions of affine Deligne–Lusztig varieties ⋮ Category of \(C\)-motives over finite fields ⋮ A dictionary between Fontaine-theory and its analogue in equal characteristic ⋮ Affine Deligne-Lusztig varieties and the action of 𝐽

Cites Work

• Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
• A dictionary between Fontaine-theory and its analogue in equal characteristic
• Codimensions of Newton strata for \(\text{SL}_3(F)\) in the Iwahori case.
• Coverings of p-adic symmetric regions
• Conformal blocks and generalized theta functions
• Algebraic loop groups and moduli spaces of bundles
• Crystalline Dieudonné module theory via formal and rigid geometry
• Foliations in moduli spaces of abelian varieties
• Purity of the stratification by Newton polygons
• Affine Deligne–Lusztig varieties in affine flag varieties
• Uniformizing the Stacks of Abelian Sheaves
• Connected components of closed affine Deligne-Lusztig varieties
• Unnamed Item
• Unnamed Item

This page was built for publication: The Newton stratification on deformations of local G-shtukas