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On de Jong conjecture

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Shiho, Atsushi

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On de Jong conjecture
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17
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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On de Jong conjecture predicts that any isocrystal on a geometrically simply connected projective smooth variety over a perfect field of characteristic $p>0$ would be constant. I will report some results related to this conjecture. Joint work in progress with Hélène Esnault.
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