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On the K-theory of elliptic curves
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Kevin P Knudson
Published/Copyright:
June 12, 2008
Abstract
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.(GL2 (A), ℤ) in H.(GL2 (F), ℤ) coincides with the image of H.(GL2 (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 r2 (K2 (A) ⊗ ℚ) = 0, where rm denotes the mth level of the rank filtration.
Received: 1998-07-27
Published Online: 2008-06-12
Published in Print: 1999-02-15
© Walter de Gruyter
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Articles in the same Issue
- Approximate homogeneity is not a local property
- Gradient regularity for minimizers under general growth conditions
- On the mock Peter-Weyl theorem and the Drinfeld double of a double
- Simple inductive limit C*-algebras: Spectra and approximations by interval algebras
- On the K-theory of elliptic curves
- Polar representations and symmetric spaces
- On the divisor-sum problem for binary forms
- Block-compatible metaplectic cocycles
- Converse theorems for GLn, II
- Representations of restricted Lie algebras and families of associative ℒ-algebras
- A limit theorem for Bohr-Jessen's probability measures of the Riemann zeta-function
- Erratum to the paper: Terme constant des fonctions tempérées sur un espace symétrique réductif
