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arXiv · 1802.04372

Cohomologie non ramifiée dans le produit avec une courbe elliptique

Jean-Louis Colliot-Thélène
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Abstract

A method of Gabber (2002) produces unramified cohomology classes in the products of certain varieties with an elliptic curve. The connection between third unramified cohomology and integral Hodge conjecture for codimension 2 cycles (2012, which builds upon results from algebraic K-Theory, then gives many examples of such a product for which this conjecture fails. The special case of the product with an Enriques surface was established by Benoist and Ottem (2018).

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Jean-Louis Colliot-Thélène. 2018-09-19. Cohomologie non ramifiée dans le produit avec une courbe elliptique. https://arxiv.org/abs/1802.04372

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