Group Schemes over artinian rings and Applications

Ioan Berbec

Displaying similar documents to “Group Schemes over artinian rings and Applications”

$p$ -divisible groups with complex multiplication over $W (k)$

Tetsuo Nakamura (1991)

Compositio Mathematica

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Local-to-global extensions of representations of fundamental groups

Nicholas M. Katz (1986)

Annales de l'institut Fourier

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Let $K$ be a field of characteristic $p > 0$ , $C$ a proper, smooth, geometrically connected curve over $K$ , and 0 and $\infty$ two $K$ -rational points on $C$ . We show that any representation of the local Galois group at $\infty$ extends to a representation of the fundamental group of $C - {0, \infty}$ which is tamely ramified at 0, provided either that $K$ is separately closed or that $C$ is $P^{1}$ . In the latter case, we show there exists a unique such extension, called “canonical”, with the property that the image of the geometric fundamental...

Crystalline Dieudonné theory over excellent schemes

Aise Johan De Jong, William Messing (1999)

Bulletin de la Société Mathématique de France

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On component groups of Jacobians of Drinfeld modular curves

Mihran Papikian (2004)

Annales de l'Institut Fourier

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Let $J_{0} (𝔫)$ be the Jacobian variety of the Drinfeld modular curve $X_{0} (𝔫)$ over $𝔽_{q} (t)$ , where $𝔫$ is an ideal in $𝔽_{q} [t]$ . Let $0 \to B \to J_{0} (𝔫) \to A \to 0$ be an exact sequence of abelian varieties. Assume $B$ , as a subvariety of $J_{0} (𝔫)$ , is stable under the action of the Hecke algebra $𝕋 \subset$ End $(J_{0} (𝔫))$ . We give a criterion which is sufficient for the exactness of the induced sequence of component groups $0 \to Φ_{B, \infty} \to Φ_{J, \infty} \to Φ_{A, \infty} \to 0$ of the Néron models of these abelian varieties over $𝔽_{q} [[\frac{1}{t}]]$ . This criterion is always satisfied when either $A$ or $B$ is one-dimensional. Moreover, we prove that...

On contravariant functors from the category of preschemes over a field into the category of abelian groups

Jaap P. Murre (1964)

Publications Mathématiques de l'IHÉS

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Formal groups arising from algebraic varieties

M. Artin, B. Mazur (1977)

Annales scientifiques de l'École Normale Supérieure

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Displaying similar documents to “Group Schemes over artinian rings and Applications”

p -divisible groups with complex multiplication over W ( k )

Local-to-global extensions of representations of fundamental groups

Crystalline Dieudonné theory over excellent schemes

On component groups of Jacobians of Drinfeld modular curves

On contravariant functors from the category of preschemes over a field into the category of abelian groups

Formal groups arising from algebraic varieties

$p$ -divisible groups with complex multiplication over $W (k)$