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S. Bloch and K. Kato, p-adic 'etale cohomology, Inst. Hautes Etudes Sci. Publ. Math. No. 63 (1986), 107--152.

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Topological Cyclic Homology Of Schemes - Geisser, Hesselholt (1997)   (3 citations)  (Correct)

....If E is a field of characteristic p 0, one has the map d log : K M i (E) Wn Omega i E induced via products from d log x = dx n =x n . It factors through the Steinberg relation because Wn Omega 2 Fp [x] 0. It is easily checked that (R Gamma F ) ffi d log = 0, and by Bloch Gabber Kato, [1], the induced map d log : K M i (E) p n n (i) E) 17) is an isomorphism. It is known that the groups K M i (E) are p torsion free. This was proved by Suslin, 39] when i = 2, and by Izhboldin, 24] in general. Recently, the first author and M. Levine have shown Theorem 4.2.1. 11] Let ....

S. Bloch, K. Kato, p-adic 'etale cohomology, Publ. Math. IHES 63 (1986), 147-164


The Bloch-Kato Conjecture And A Theorem Of Suslin-Voevodsky - Geisser, Levine (1998)   (1 citation)  (Correct)

....result of [7] Remark following Corollary 4.3. Let F be a field, q 0 an integer, and m 1 an integer prime to the characteristic of F . We have the Milnor K group K M n (F ) and the Galois symbol # q;F : K M q (F ) m H q et (F; Omega q m ) 1. 1) The Bloch Kato conjecture [3] asserts that the map # q;F is an isomorphism for all F , q and m. As described in x2.2, we will use Bloch s higher Chow groups as our definition of motivic cohomology for smooth quasi projective k schemes, and use the Mayer Vietoris property of motivic cohomology to extend to schemes which are ....

Bloch, S., Kato, K. p-adic 'etale cohomology, Inst. Hautes ' Etudes Sci. Publ. Math. 63 (1986), 107-152.


Comparison Theorems between Crystalline and étale.. - Xarles   (Correct)

No context found.

S. Bloch and K. Kato, p-adic 'etale cohomology, Inst. Hautes Etudes Sci. Publ. Math. No. 63 (1986), 107--152.


The Milnor Conjecture. - Voevodsky (1996)   (16 citations)  (Correct)

No context found.

S. Bloch and K. Kato. p-adic etale cohomology. Publ. Math. IHES, 63:107--152, 1986.


Voevodsky's Seattle Lectures: K-Theory and Motivic Cohomology.. - Voevodsky   (Correct)

No context found.

S. Bloch and K. Kato, p-adic etale cohomology, Publ. Math. IHES 63 (1986), 107--152.

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