First and second K-groups of an elliptic curve over a global field of positive characteristic

الأصل · EN

In this paper, we show that the maximal divisible subgroup of groups K₁ and K₂ of an elliptic curve E over a function field is uniquely divisible. Further those K-groups modulo this uniquely divisible subgroup are explicitly computed. We also calculate the motivic cohomology groups of the minimal regular model of E, which is an elliptic surface over a finite field.