| dc.contributor.author | Pablos Romo, Fernando | |
| dc.date.accessioned | 2025-03-05T12:08:06Z | |
| dc.date.available | 2025-03-05T12:08:06Z | |
| dc.date.issued | 2006 | |
| dc.identifier.citation | Fernando Pablos Romo, 3-Cocycles, symbols and reciprocity laws on curves, Journal of Pure and Applied Algebra, Volume 205, Issue 1, 2006, Pages 94-116, ISSN 0022-4049, https://doi.org/10.1016/j.jpaa.2005.06.004. (https://www.sciencedirect.com/science/article/pii/S0022404905001416) | es_ES |
| dc.identifier.issn | 0022-4049 | |
| dc.identifier.uri | http://hdl.handle.net/10366/164060 | |
| dc.description.abstract | [EN]We introduce a new approach for the study of two-dimensional symbols, F^∗ ×F^∗ ×F^∗ → G,
where F is a discrete valuation field and G is a commutative group. From central extensions of groups
we obtain a three-cocycle {·, ·, ·} and the symbol is a differentiated element of the cohomology
class [{·, ·, ·}] ∈ H^3(F^∗,G). Our construction generalizes well-known two-dimensional symbols,
such as the Parshin symbol on a surface, and we offer a proof and a conjecture for reciprocity
laws on curves related to these symbols. | es_ES |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.subject | 3-cocycle | es_ES |
| dc.subject | Arithmetic symbols | es_ES |
| dc.subject | Reciprocity laws | es_ES |
| dc.title | 3-Cocycles, symbols and reciprocity laws on curves | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publishversion | https://doi.org/10.1016/j.jpaa.2005.06.004 | es_ES |
| dc.subject.unesco | 12 Matemáticas | es_ES |
| dc.identifier.doi | 10.1016/j.jpaa.2005.06.004 | |
| dc.relation.projectID | BFM2003-00078 | es_ES |
| dc.relation.projectID | SA071/04. | es_ES |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
| dc.journal.title | Journal of Pure and Applied Algebra | es_ES |
| dc.volume.number | 205 | es_ES |
| dc.issue.number | 1 | es_ES |
| dc.page.initial | 94 | es_ES |
| dc.page.final | 116 | es_ES |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |
