English

On $K_1$ of a self-product of a curve

Algebraic Geometry 2007-05-23 v1 Number Theory

Abstract

We present elements of H1(C\tiC,K2)H^1(C\ti C, K_2) for certain specific curves C.The image of the element under the boundary map arising from the localization sequence of K-theory is the graph of frobenius endomorphism of the reduction of the curve modulo 3.

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Cite

@article{arxiv.math/0204024,
  title  = {On $K_1$ of a self-product of a curve},
  author = {Kenichiro Kimura},
  journal= {arXiv preprint arXiv:math/0204024},
  year   = {2007}
}

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4 pages