Abstract
Let X be a smooth projective curve over a finite field. The main result is that the odd-dimensional K-theory of the extension of X to the algebraic closure is the sum of two copies of the K-theory of the field. Two plausible conjectures are advanced which would suffice to compute the K-theory of X itself. These provisional computations are then related to the L-functions of X.
Original language | English (US) |
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Pages (from-to) | 79-87 |
Number of pages | 9 |
Journal | Journal of Pure and Applied Algebra |
Volume | 51 |
Issue number | 1-2 |
DOIs | |
State | Published - Mar 1988 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory