An extended version of additive K-theory
| dc.creator | Garoufalidis, Stavros | |
| dc.date | 2007-07-12 | |
| dc.date | 2007-11-06 | |
| dc.date.accessioned | 2026-07-07T08:40:22Z | |
| dc.date.available | 2026-07-07T08:40:22Z | |
| dc.description | There are two infinitesimal (i.e., additive) versions of the $K$-theory of a field $F$: one was introduced by Cathelineau, which is an $F$-module, and another one introduced by Bloch-Esnault, which is an $F^*$-module. Both versions are equipped with a regulator map, when $F$ is the field of complex numbers. In our short paper we will introduce an extended version of Cathelineau's group, and a complex-valued regulator map given by the entropy. We will also give a comparison map between our extended version and Cathelineau's group. Our results were motivated by two unrelated sources: Neumann's work on the extended Bloch group (which is isomorphic to indecomposable $K_3$ of the complex numbers), and the study of singularities of generating series of hypergeometric multisums. Final version. | |
| dc.description | 9 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0707.1828 | |
| dc.identifier | http://arxiv.org/abs/0707.1828 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141351 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.title | An extended version of additive K-theory | |
| dc.type | text |