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We construct a higher Abel-Jacobi map for 0-cycles on complex threefolds and prove that it can be used to describe Mumford's pull-back of a differential form, and that its image is infinite-dimensional in many cases. However, making a certain assumption, we show that it is not always injective.

A Hodge type decomposition for spinor valued forms

M. J. Slupinski (1996)

Annales scientifiques de l'École Normale Supérieure

A Noether-Lefschetz theorem for vector bundles.

Jeroen G. Spandaw (1996)

Manuscripta mathematica

A note on indecomposable motivic cohomology classes.

James D. Lewis (1997)

Journal für die reine und angewandte Mathematik

A remark on Hodge cycles on moduli spaces of rank 2 bundles over curves.

Indranil Biswas (1996)

Journal für die reine und angewandte Mathematik

A result on the integral chow ring of a generic principally polarized complex abelian variety of dimension four

Charles Barton, C. H. Clemens (1977)

Compositio Mathematica

Abelian varieties associated to certain K3 surfaces

Kapil Paranjape (1988)

Compositio Mathematica

Albanese varieties with modulus and Hodge theory

Kazuya Kato, Henrik Russell (2012)

Annales de l’institut Fourier

Let $X$ be a proper smooth variety over a field $k$ of characteristic $0$ and $Y$ an effective divisor on $X$ with multiplicity. We introduce a generalized Albanese variety Alb $(X, Y)$ of $X$ of modulus $Y$ , as higher dimensional analogue of the generalized Jacobian with modulus of Rosenlicht-Serre. Our construction is algebraic. For $k = ℂ$ we give a Hodge theoretic description.

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1-motivi di varietà proiettive semplicemente connesse e scoppiamenti

A Construction of Surfaces with pg = 1, q = 0 and 2...(K2) ...8. Counter Examples of the Global Torelli Theorem.

A Criterion for Flatness of Hodge Bundles over Curves and Geometrie Applications.

A Grothendieck-Riemann-Roch Formula for Maps of Complex Manifolds.

A higher Albanese map for complex threefolds based on a construction by M. Green

A Hodge type decomposition for spinor valued forms

A Noether-Lefschetz theorem for vector bundles.

A note on indecomposable motivic cohomology classes.

A remark on Hodge cycles on moduli spaces of rank 2 bundles over curves.

A result on the integral chow ring of a generic principally polarized complex abelian variety of dimension four

Abelian varieties associated to certain K3 surfaces

Albanese varieties with modulus and Hodge theory

Algebraic cycles and Hodge theoretic connectivity.

Algebraic cycles and Hodge theory on generalized Reye congruences

Algebraic Cycles on Abelian Varieties of Fermat Type.

Algebraic Cycles on Certain Desingularized Nodal Hypersurfaces.

Algebraic Cycles on Compact Shimura Surface.

Algebraic geometry and local differential geometry

Algebraic groups associated with abelian varieties.

Algebraic Solutions of Differential Equations (p-Curvature and the Hodge Filtration).

Currently displaying 1 – 20 of 221