科研之友
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摘要
We introduce a Milnor type K-group associated to commutative algebraic groups over a perfect field. It is an additive variant of Somekawa%26apos;s K-group. We show that the K-group associated to the additive group and q multiplicative groups of a field is isomorphic to the space of absolute Kahler differentials of degree q of the field, thus giving us a geometric interpretation of the space of absolute Kahler differentials. We also show that the K-group associated to the additive group and Jacobian variety of a curve is isomorphic to the homology group of a certain complex.
- 出版日期2014-6
