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Let be a prime integer and a field of characteristic . Let be thenorm varietyof a symbol in the Galois cohomology group (for some ), constructed in the proof of the Bloch-Kato conjecture. The main result of the paper affirms that the function field has the following property: for any equidimensional variety , the change of field homomorphism of Chow groups with coefficients in integers localized at is surjective in codimensions . One of the main ingredients of the proof is a computation...
We describe the polarised Hodge structure on the symmetric powers of a smooth projective curve.
A relativization of earlier constructions and Nori’s rational Lefschetz theorem enable interesting examples of the “topological filtration” on algebraic cycles.
Let Y be a submanifold of dimension y of a polarized complex manifold (X, A) of dimension k ≥ 2, with 1 ≤ y ≤ k−1. We define and study two positivity conditions on Y in (X, A), called Seshadri A-bigness and (a stronger one) Seshadri A-ampleness. In this way we get a natural generalization of the theory initiated by Paoletti in [Paoletti R., Seshadri positive curves in a smooth projective 3-fold, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 1996, 6(4), 259–274] (which...
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