Titlebook: Rationality of Varieties; Gavril Farkas,Gerard van der Geer,Lenny Taelman Conference proceedings 2021 The Editor(s) (if applicable) and Th

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On the Image of the Second ,-adic Bloch Map, Tate module of algebraically trivial cycle classes in terms of the “correspondence (co)niveau filtration”. This complements results with rational coefficients due to Suwa. In the appendix, we review the construction of the Bloch map and its basic properties.

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Supersingular Irreducible Symplectic Varieties,etric side, we conjecture that unirationality characterizes supersingularity for symplectic varieties. Such an equivalence is established in case (1), assuming the same is true for K3 surfaces. In case (2), we show that rational chain connectedness is equivalent to supersingularity..On the motivic s

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Conference proceedings 2021onference in the series of conferences on the island of Schiermonnikoog. The book follows in the tradition of earlier volumes, which originated from conferences on the islands Texel and Schiermonnikoog...

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t the text we quote only the important contributions to the subject matter. We are far from being complete or exhaustive in our references, and we apologise to any colleagues not mentioned in spite of their important contributions to the particular items. It is intended to indicate any corrections t

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