Journal
ANNALES DE L INSTITUT FOURIER
Volume 68, Issue 5, Pages 2005-2067Publisher
ANNALES INST FOURIER
DOI: 10.5802/aif.3202
Keywords
K-theory; function field; elliptic curve; motivic cohomology
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Funding
- JSPS [17740016, 15H03610, 24540018, 21540013, 16244120]
- World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan
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In this paper, we show that the maximal divisible subgroup of groups K-1 and K-2 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.
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