Tropical geometry for fields with a Krull valuation: First definitions and a small result
Document title: Tropical geometry for fields with a Krull valuation: First definitions and a small result
Journal: Boletín de la Sociedad Matemática Mexicana
Database: PERIÓDICA
System number: 000345584
ISSN: 0037-8615
Authors: 1
Institutions: 1Universidad Nacional Autónoma de México, Instituto de Matemáticas, Cuernavaca, Morelos. México
Year:
Season: Abr
Volumen: 16
Number: 1
Pages: 9-14
Country: México
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract Given an algebraically closed field with a Krull valuation, we study the image, via the valuation, of an affine algebraic variety. We define the tropical semi-ring associated with the value group and the tropical variety associated to an ideal of the ring of polynomials with coefficients in the field. We prove the so called “Kapranov’s theorem” in the discrete case
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Geometría algebraica,
Geometría tropical,
Valuaciones de Krull
Keyword: Mathematics,
Pure mathematics,
Krull valuations,
Algebraic geometry,
Tropical geometry
Document request
Note: The document is shipping cost.









Original documents can be consulted at the Departamento de Información y Servicios Documentales, located in the Annex to the General Directorate of Libraries (DGB), circuito de la Investigación Científica across from the Auditorium Nabor Carrillo, located between the Institutes of Physics and Astronomy. Ciudad Universitaria UNAM. Show map
For more information: Departamento de Información y Servicios Documentales, Tels. (5255) 5622-3960, 5622-3964. E-mail: sinfo@dgb.unam.mx . Monday to Friday from (8 to 16 hrs).