Essential dimension via prismatic cohomology

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

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Toroidal embeddings. I
On the existence of isotropic forms of semi-simple algebraic groups over number fields with prescribed local behavior.
Relèvements modulo $p^ 2$ et décomposition du complexe de de Rham. (Lifting modulo $p^ 2$ and decomposition of the de Rham complex)
Exponent and index of nonramified central simple algebras (with an appendix by Ofer Gabber).
Sur la résolution, par les fonctions hyperelliptiques, de l'équation du vingt-septième degré, de laquelle dépend la détermination des vingt-sept droites d'une surface cubique.
The coniveau filtration and non-divisibility for algebraic cycles
Coverings over tori and topological approach to Klein's resolvent problem
Lefschetz theorems for torsion algebraic cycles in codimension 2
Prisms and prismatic cohomology
Unramified cohomology of degree 3 and Noether's problem
Schémas en groupes. III: Structure des schémas en groupes réductifs. Exposés XIX à XXVI. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3), dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 3: Exp. IX--XIX
The Lefschetz theorem on hyperplane sections
Finite groups scheme actions and incompressibility of Galois covers: beyond the ordinary case
Complex varieties for which the Chow group$\mod n$ is not finite
Introduction to Toric Varieties. (AM-131)
Integral models for Shimura varieties of abelian type
On specialization of the Albanese and Picard varieties
The Cohomology of Extraspecial Groups
Logarithmic structures of Fontaine-Illusie. II
STABLE COHOMOLOGY OF GROUPS AND ALGEBRAIC VARIETIES
Ueber die Gleichungen fünften Grades.
Essential Dimensions of Algebraic Groups and a Resolution Theorem for G-Varieties
Descent, motives and K-theory.
Toroidal compactifications of integral models of Shimura varieties of Hodge type
Nondivisible cycles on products of very general Abelian varieties
The essential dimension of congruence covers
Prismatic Dieudonné Theory
GALOIS ACTIONS ON FUNDAMENTAL GROUPS OF CURVES AND THE CYCLE $C-C^{-}$
Zur Theorie der Abel'schen Functionen.
Die Probleme der modernen Galoisschen Theorie.
Complex varieties with infinite Chow groups modulo 2
Modular functions and resolvent problems (with an appendix by Nate Harman)
Fixed points, local monodromy, and incompressibility of congruence covers
Logarithmic adic spaces: some foundational results

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