A geometric approach to constructing elements of $K_2$ of curves
Algebraic Geometry
2015-04-09 v1 K-Theory and Homology
Number Theory
Abstract
We present a framework for constructing examples of smooth projective curves over number fields with explicitly given elements in their second K-group using elementary algebraic geometry. This leads to new examples for hyperelliptic curves and smooth plane quartics. Moreover, we show that most previously known constructions can be reinterpreted using our framework.
Keywords
Cite
@article{arxiv.1504.01755,
title = {A geometric approach to constructing elements of $K_2$ of curves},
author = {Ulf Kühn and J. Steffen Müller},
journal= {arXiv preprint arXiv:1504.01755},
year = {2015}
}
Comments
25 pages, 5 figures