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Angel65
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The Ogus conjecture for crystalline cohomology

How is the Ogus conjecture explicitly stated, which is a variant of the Hodge and the Tate conjectures for crystalline cohomology ?

How do we build its class map cycle, and how do we formulate its Poincaré duality theorem ? In other words, how do we define the class cycle map that Ogus conjecture predicts its surjectivity, and for which field of coefficients should we establish this surjectivity ?

Thanks in advance for your help.

Angel65
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