On the K-theory of elliptic curves
| dc.creator | Knudson, Kevin P. | |
| dc.date | 1998-09-29 | |
| dc.date.accessioned | 2026-07-07T05:26:12Z | |
| dc.date.available | 2026-07-07T05:26:12Z | |
| dc.description | Let A be the coordinate ring of an affine elliptic curve (over an infinite field k) of the form X-{p}, where X is projective and p is a closed point on X. Denote by F the function field of X. We show that the image of H_*(GL_2(A),Z) in H_*(GL_2(F),Z) coincides with the image of H_*(GL_2(k),Z). As a consequence, we obtain numerous results about the K-theory of A and X. For example, if k is a number field, we show that r_2(K_2> (A) x Q)=0, where r_m denotes the m-th level of the rank filtration. | |
| dc.description | 11 pages, 3 figures, to appear in J. reine angew. Math | |
| dc.identifier | https://arxiv.org/abs/math/9809173 | |
| dc.identifier | http://arxiv.org/abs/math/9809173 | |
| dc.identifier | J. reine angew. Math. 507 (1999), 81-91 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77463 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 19D55; 20G10 | |
| dc.title | On the K-theory of elliptic curves | |
| dc.type | text |