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Shafarevich Seminar
December 8, 2020 15:00, Moscow, online
 


Refined unramified cohomology and algebraic cycles

S. Schreieder
Video records:
MP4 269.3 Mb

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Abstract: We introduce refined unramified cohomology groups, explain their relation to classical unramified cohomology, and prove some general comparison theorems to certain cycle groups. This generalizes and simplifies work of Bloch–Ogus, Colliot-Thelene–Voisin, Voisin, and Ma, who dealt with cycles of low (co-)dimension. Our approach has several applications. For instance, it allows to construct the first example of a variety whose Griffiths group has infinite torsion subgroup.

Language: English
 
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