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Your search keyword '"Pierrot, Amandine"' showing total 2 results
Start Over Author "Pierrot, Amandine" Topic mathematics::algebraic geometry
2 results on '"Pierrot, Amandine"'

1. Computation of the divided Frobenius modulo p on the cristalline cohomology of some covering of the porjective line

Author

Pierrot, Amandine

Subjects
Mathematics - Algebraic Geometry, Mathematics::Algebraic Geometry, Mathematics::Category Theory, FOS: Mathematics, Algebraic Geometry (math.AG)
Abstract

In this paper, we introduce a family of hyper-elliptic curves. For this family we compute the matrix of the divided Frobenius and we obtain general formulas. We use a recent results of Huyghe-Wach : the divided Frobenius coincides with the morphism built by Deligne-Illusie in 1987., in French

Published
2018

2. Calcul du Frobenius divisé modulo p sur la cohomologie cristalline de certains revêtements de la droite projective

Author

Pierrot, Amandine, Institut de Recherche Mathématique Avancée (IRMA), and Centre National de la Recherche Scientifique (CNRS)-Université de Strasbourg (UNISTRA)

Subjects
Mathematics::Algebraic Geometry, super-elliptic curves, Deligne-Illusie morphism, Mathematics::Category Theory, Hasse-Witt matrix, matrice de Hasse-Witt, courbes super-elliptiques, morphisme de Deligne-Illusie, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], Frobenius divisé, divided Frobenius
Abstract

In this paper, we introduce a family of hyper-elliptic curves. For this family we compute the matrix of the divided Frobenius and we obtain general formulas. We use a recent results of Huyghe-Wach : the divided Frobenius coincides with the morphism built by Deligne-Illusie in 1987.; Dans cet article nous présentons une famille de courbes hyper-elliptiques pour lesquels nous effectuons le calcul de la matrice du Frobenius divisé, calcul pour lequel nous obtenons des formules générales. Pour cela nous utilisons un résultat récent de Huyghe-Wach qui démontre que celui-ci coïncide avec le morphisme construit par Deligne-Illusie en 1987.

Published
2018

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