Título
On the tame symbol of an algebraic curve
Autor(es)
Palabras clave
Tame symbol
Reciprocity law
Algebraic curve
Clasificación UNESCO
12 Matemáticas
1201 Álgebra
Fecha de publicación
2002
Editor
Taylor and Francis Group
Citación
Romo, F. P. (2002). ON THE TAME SYMBOL OF AN ALGEBRAIC CURVE. Communications in Algebra, 30(9), 4349–4368. https://doi.org/10.1081/AGB-120013323
Resumen
[EN]The aim of this work is to give a new definition of the tame symbol of an algebraic curve from the commutator of a certain central extension of groups. The definition offered is valid for each closed point p 2 C of an irreducible non singular curve over a perfect field. Moreover, when the curve is complete, the reciprocity law can be deduced from the finiteness of the cohomology groups H^0 (C, O_C) and H^1 (C, O_C).
URI
ISSN
0092-7872. 1532-4125
DOI
Versión del editor
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