恳求 发表于 2025-3-21 17:07:26
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,Some Conjectures on the Algebraic K-Theory of Fields, I: K-Theory with Coefficients and Étale K-Theto conjecturing that ordinary K-theory injects into étale K-theory, or that Bott elements are nonzero divisors in the former. Given the conjectural homomorphisms above, this would also be a formal consequence of the existence of a spectral sequence from étale cohomology to ordinary K-theory, as conj帐单 发表于 2025-3-22 09:04:30
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On the Naturality of Pic, SK0 and SK1, over a field k, then Pic(A), SK.(A) and SK.(A) are naturally modules over the ring W(k) of Witt vectors over k. If A is any commutative ring, NPic(A), NSK.(A) and NSK.(A) are naturally modules over W(A). The K-theory transfer map, defined when B is an A-algebra which is a finite projective A-moduleAnthology 发表于 2025-3-22 20:32:44
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Class Numbers, Units and K2,of units of an algebraic number field on one side, and the order and the structure of the 2-primary subgroup of the Milnor K-group over the ring of integers of the number field on the other side..This relates to the Birch-Tate conjecture and a classical question on Sophie Germain primes.隐藏 发表于 2025-3-23 01:43:48
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,Some Conjectures on the Algebraic K-Theory of Fields, I: K-Theory with Coefficients and Étale K-Theom the former towards the latter (Chern classes) and b) comparison with étale K-theory, which is the abutment of a spectral sequence starting with étale cohomology groups. The main theme of this paper is to explain that, locally for the Zariski topology, there should be homomorphisms in the opposite