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Displaying 1 – 16 of 16

Canonical integral structures on the de Rham cohomology of curves

Bryden Cais (2009)

Annales de l’institut Fourier

For a smooth and proper curve $X_{K}$ over the fraction field $K$ of a discrete valuation ring $R$ , we explain (under very mild hypotheses) how to equip the de Rham cohomology $H_{dR}^{1} (X_{K} / K)$ with a canonical integral structure: i.e., an $R$ -lattice which is functorial in finite (generically étale) $K$ -morphisms of $X_{K}$ and which is preserved by the cup-product auto-duality on $H_{dR}^{1} (X_{K} / K)$ . Our construction of this lattice uses a certain class of normal proper models of $X_{K}$ and relative dualizing sheaves. We show that our lattice naturally...

Classical and overconvergent modular forms

Robert F. Coleman (1995)

Journal de théorie des nombres de Bordeaux

Classification of projective surfaces with small sectional genus : char $p$ > $0$

M. Andreatta, E. Ballico (1990)

Rendiconti del Seminario Matematico della Università di Padova

Cohérence sur D+ et irrégularité des isocristaux surconvergents de rang 1.

Laurent Garnier (1997)

Forum mathematicum

Cohomology on affinoid spaces

M. Van der Put (1982)

Compositio Mathematica

Coleman integration versus Schneider integration on semistable curves.

de Shalit, Ehud (2007)

Documenta Mathematica

Comparaison entre la cohomologie algebrique et la cohomologie p-adique rigide ä coefficients dans un module differentiel I. (Cas des courbes).

F. Baldassarri (1987)

Inventiones mathematicae

Comparaison entre la cohomologie algébrique et la cohomologie $p$ -adique rigide à coefficients dans un nodule différentiel

Francesco Baldassarri (1984/1985)

Groupe de travail d'analyse ultramétrique

Component groups of abelian varieties and Grothendieck's duality conjecture

Siegfried Bosch (1997)

Annales de l'institut Fourier

We investigate Grothendieck’s pairing on component groups of abelian varieties from the viewpoint of rigid uniformization theory. Under the assumption that the pairing is perfect, we show that the filtrations, as introduced by Lorenzini and in a more general way by Bosch and Xarles, are dual to each other. Furthermore, the methods yield some progress on the perfectness of the pairing itself, in particular, for abelian varieties with potentially multiplicative reduction.

Currently displaying 1 – 16 of 16

Page 1

Displaying 1 – 16 of 16

Canonical integral structures on the de Rham cohomology of curves

Classical and overconvergent modular forms

Classification of projective surfaces with small sectional genus : char $p$ > $0$

Cohérence sur D+ et irrégularité des isocristaux surconvergents de rang 1.

Cohomology on affinoid spaces

Coleman integration versus Schneider integration on semistable curves.

Comparaison entre la cohomologie algebrique et la cohomologie p-adique rigide ä coefficients dans un module differentiel I. (Cas des courbes).

Comparaison entre la cohomologie algébrique et la cohomologie $p$ -adique rigide à coefficients dans un nodule différentiel

Component groups of abelian varieties and Grothendieck's duality conjecture

Component groups of Néron models via rigid uniformization.

Congruenze per integrali ellittici

Construction analytique de courbes en géométrie non archimédienne

Construction analytique (rigide) de variétés abéliennes

Construction analytique rigide de variétés abéliennes

Construction de représentations $p$ -adiques

Corrections à: «Transformations de Fourier et majoration de sommes exponentielles»

Currently displaying 1 – 16 of 16