| dc.contributor.author | Pablos Romo, Fernando | |
| dc.date.accessioned | 2025-03-05T09:45:11Z | |
| dc.date.available | 2025-03-05T09:45:11Z | |
| dc.date.issued | 2003 | |
| dc.identifier.citation | Pablos Romo, F. (2003). A Note on Steinberg Symbols on Algebraic Curves. Communications in Algebra, 31(2), 981–990. https://doi.org/10.1081/AGB-120017354 | es_ES |
| dc.identifier.issn | 0092-7872. 1532-4125 | |
| dc.identifier.uri | http://hdl.handle.net/10366/164049 | |
| dc.description.abstract | [EN]The aim of this paper is to provide a method for defining Steinberg symbols on a complete algebraic curve over a perfect field k from the commutator of a certain extension of groups. This extension is associated with a group morphism ϕ : k* → G. With this definition the reciprocity law is a consequence of the finiteness of the cohomology groups H^0(C, 𝒪_C ) and H^1(C, 𝒪_C ). Using this method, Hilbert's norm residue symbol on an algebraic curve and the symbol (a, b)_v for the field ℚ_p (n = 2) can be defined. | es_ES |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | es_ES |
| dc.publisher | Taylor and Francis Group | es_ES |
| dc.subject | Steinberg symbol | es_ES |
| dc.subject | Algebraic curve | es_ES |
| dc.subject | Reciprocity law | es_ES |
| dc.title | A Note on Steinberg Symbols on Algebraic Curves | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publishversion | https://doi.org/10.1081/AGB-120017354 | es_ES |
| dc.subject.unesco | 12 Matemáticas | es_ES |
| dc.subject.unesco | 1201 Álgebra | es_ES |
| dc.identifier.doi | 10.1081/AGB-120017354 | |
| dc.rights.accessRights | info:eu-repo/semantics/embargoedAccess | es_ES |
| dc.journal.title | Communications in Algebra | es_ES |
| dc.volume.number | 31 | es_ES |
| dc.issue.number | 2 | es_ES |
| dc.page.initial | 981 | es_ES |
| dc.page.final | 990 | es_ES |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |
