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Displaying 81 – 100 of 150

Motivic cohomology and unramified cohomology of quadrics

Bruno Kahn, R. Sujatha (2000)

Journal of the European Mathematical Society

This is the last of a series of three papers where we compute the unramified cohomology of quadrics in degree up to 4. Complete results were obtained in the two previous papers for quadrics of dimension $\leq 4$ and $\geq 11$ . Here we deal with the remaining dimensions between 5 and 10. We also prove that the unramified cohomology of Pfister quadrics with divisible coefficients always comes from the ground field, and that the same holds for their unramified Witt rings. We apply these results to real quadrics....

Motivic cohomology and values of zeta functions

J. S. Milne (1988)

Compositio Mathematica

Motivically functorial coniveau spectral sequences; direct summands of cohomology of function fields.

Bondarko, Mikhail V. (2010)

Documenta Mathematica

Notes on étale cohomology of number fields

Barry Mazur (1973)

Annales scientifiques de l'École Normale Supérieure

Numerical equivalence and cohomological equivalence for abelian varieties over finite fields. (Equivalence numérique et équivalence cohomologique pour les variétés abéliennes sur les corps finis.)

Clozel, L. (1999)

Annals of Mathematics. Second Series

On Artin-Verdier Duality for Function Fields.

Christopher Deninger (1984/1985)

Mathematische Zeitschrift

On base change theorem and coherence in rigid cohomology.

Tsuzuki, Nobuo (2003)

Documenta Mathematica

On cohomological systems of Galois representations

Wojciech Gajda, Sebastian Petersen (2016)

Banach Center Publications

The paper contains an expanded version of the talk delivered by the first author during the conference ALANT3 in Będlewo in June 2014. We survey recent results on independence of systems of Galois representations attached to ℓ-adic cohomology of schemes. Some other topics ranging from the Mumford-Tate conjecture and the Geyer-Jarden conjecture to applications of geometric class field theory are also considered. In addition, we have highlighted a variety of open questions which can lead to interesting...

On l-independence of algebraic monodromy groups in compatible systems of representations.

M. Larsen, R. Pink (1992)

Inventiones mathematicae

On the derived categories of coherent sheaves on some homogeneous spaces.

M.M. Kapranov (1988)

Inventiones mathematicae

On the Euler-Poincaré characteristics of finite dimensional $p$ -adic Galois representations

John Coates, Ramdorai Sujatha, Jean-Pierre Wintenberger (2001)

Publications Mathématiques de l'IHÉS

On the Induced h-Structure on an Open Subset of the Rigid Analytic Space IPl (k) .

Yasuo Morita (1979)

Mathematische Annalen

On the maximal unramified quotients of $p$ -adic étale cohomology groups and logarithmic Hodge–Witt sheaves.

Tsuji, Takeshi (2003)

Documenta Mathematica

On the Monodromy Group of Plane Curve Singularities.

Bronislaw Wajnryb (1979)

Mathematische Annalen

On the $p$ adic nearby cycles of log smooth families

Takeshi Tsuji (2000)

Bulletin de la Société Mathématique de France

Ordered groupoids and étendues

Mark V. Lawson, Benjamin Steinberg (2004)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

$p$ -adic analytic spaces.

Berkovich, Vladimir G. (1998)

Documenta Mathematica

$p$ -adic Hodge theory in the semi-stable reduction case.

Tsuji, Takeshi (1998)

Documenta Mathematica

p-adic étale Tate twists and arithmetic duality

Kanetomo Sato (2007)

Annales scientifiques de l'École Normale Supérieure

Propriétés du groupe tannakien des structures de Hodge $p$ -adiques et torseur entre cohomologies cristalline et étale

Jean-Pierre Wintenberger (1997)

Annales de l'institut Fourier

On donne des propriétés de la catégorie tannakienne des modules de Dieudonné filtrés sur un corps $p$ -adique (ces modules de Dieudonné jouent en $p$ -adique un rôle analogue aux structures de Hodge complexes). On prouve l’existence d’un foncteur fibre sur $Q_{p}$ et la simple connexité du groupe associé. Ceci permet de montrer, sous la conjecture de Fontaine : “faiblement admissible entraîne admissible”, une conjecture de Rapoport et Zink décrivant le torseur entre cohomologie cristalline et étale, et de prouver...

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