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Dans cet article, nous définissons une catégorie ${\tilde{M o t}}_{C}$ des motifs sur une catégorie monoïdale symétrique $(C, \otimes, 1)$ vérifiant certaines hypothèses. Le rôle des espaces sur $(C, \otimes, 1)$ est joué par les monoïdes (non necessairement commutatifs) dans $C$ . Pour définir les morphismes dans ${\tilde{M o t}}_{C}$ , nous utilisons des classes dans les groupes d’homologie cyclique bivariante. Le but est de montrer que les opérateurs de périodicité de Connes induisent des morphismes $M \otimes 𝕋^{\otimes 2} ⟶ M$ dans ${\tilde{M o t}}_{C}$ , où $𝕋$ est le motif de Tate dans ${\tilde{M o t}}_{C}$ .

Limits of Hodge Structures.

Joseph Steenbrink (1976)

Inventiones mathematicae

Local cohomology of sheaves of differential forms and Hodge theory.

Domu Arapura (1990)

Journal für die reine und angewandte Mathematik

Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures.

J.H.M. Steenbrink (1995)

Mathematische Annalen

Méthodes $L^{2}$ et résultats effectifs en géométrie algébrique

Jean-Pierre Demailly (1998/1999)

Séminaire Bourbaki

Milnor Number and Tjurina Number of Complete Intersections.

Eduard Looijenga, Joseph Steenbrink (1985)

Mathematische Annalen

Mixed Automorphic Forms and Invariants of Elliptic Surfaces.

Werner Meyer, Bruce Hunt (1985)

Mathematische Annalen

Mixed Hodge structure of affine hypersurfaces

Hossein Movasati (2007)

Annales de l’institut Fourier

In this article we give an algorithm which produces a basis of the $n$ -th de Rham cohomology of the affine smooth hypersurface $f^{- 1} (t)$ compatible with the mixed Hodge structure, where $f$ is a polynomial in $n + 1$ variables and satisfies a certain regularity condition at infinity (and hence has isolated singularities). As an application we show that the notion of a Hodge cycle in regular fibers of $f$ is given in terms of the vanishing of integrals of certain polynomial $n$ -forms in $ℂ^{n + 1}$ over topological $n$ -cycles on...

Mixed Hodge Structures on the Homotopy of Links.

Alan H. Durfee, Richard Hain (1988)

Mathematische Annalen

Mixed Hodge structures on the intersection cohomology of links

Alan H. Durfee, Morihiko Saito (1990)

Compositio Mathematica

Mixed Hodge theory for unitary local systems.

Klaus Timmerscheidt (1987)

Journal für die reine und angewandte Mathematik

Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations.

Fabrizio Catanese (1991)

Inventiones mathematicae

Monodromy of a family of hypersurfaces

Vincenzo Di Gennaro, Davide Franco (2009)

Annales scientifiques de l'École Normale Supérieure

Let $Y$ be an $(m + 1)$ -dimensional irreducible smooth complex projective variety embedded in a projective space. Let $Z$ be a closed subscheme of $Y$ , and $δ$ be a positive integer such that $ℐ_{Z, Y} (δ)$ is generated by global sections. Fix an integer $d \geq δ + 1$ , and assume the general divisor $X \in | H^{0} (Y, ℐ_{Z, Y} (d)) |$ is smooth. Denote by $H^{m} {(X; ℚ)}_{⊥ Z}^{van}$ the quotient of $H^{m} (X; ℚ)$ by the cohomology of $Y$ and also by the cycle classes of the irreducible components of dimension $m$ of $Z$ . In the present paper we prove that the monodromy representation on $H^{m} {(X; ℚ)}_{⊥ Z}^{van}$ for the family of smooth...

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La forme hermitienne canonique sur la partie invariante de la cohomologie de la fibre de Milnor d'une singularité isolée de polynôme quasi-homogène

Le problème de Torelli

Leray residue for singular varieties

Les intersections comlètes de niveau de Hodge un.

Les motifs de Tate et les opérateurs de périodicité de Connes

Limits of Hodge Structures.

Local cohomology of sheaves of differential forms and Hodge theory.

Logarithmic embeddings of varieties with normal crossings and mixed Hodge structures.

Méthodes $L^{2}$ et résultats effectifs en géométrie algébrique

Milnor Number and Tjurina Number of Complete Intersections.

Mixed Automorphic Forms and Invariants of Elliptic Surfaces.

Mixed Hodge structure of affine hypersurfaces

Mixed Hodge Structures on the Homotopy of Links.

Mixed Hodge structures on the intersection cohomology of links

Mixed Hodge theory for unitary local systems.

Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations.

Monodromy of a family of hypersurfaces

Monodromy of a family of hypersurfaces containing a given subvariety

Motivi associati a successioni di coomologia relativa

Mumford-Tate groups of mixed Hodge structures and the theorem of the fixed part

Currently displaying 81 – 100 of 221