|
|
|
|
[
POSITION ON PHYSICS AT IFM
]
[
PHYSICS GRADUATE FELLOWSHIPS AT THE IFM
]
[
BECAS DE POSGRADO EN EL IFM
]
[Event:
Segundo Minitaller Física en espacio-tiempos multidimensionales
]
[
Resultado de la evaluación al control interno y proceso administrativo
]
[
Requisitos Departamento de Titulación
]
Outstanding result of February 2010
In the period 1960-1963 and in a series of works published in the most
prestigious mathematics international journal, called Annals of Mathematics,
Prof. Kunihiko Kodaira gave a classification of smooth projective surfaces
over the field of complex numbers. Later on, in the period 1969-1977, David
Mumford and Enrico Bombieri extended this classification to smooth projective
surfaces over any algebraically closed field of any arbitrary characteristic.
Special interest has been given to understand the geometry of the case of
smooth projective rational surfaces over a fixed algebraically closed field
(such interest owes its origin to the italian school of Algebraic Geometry of
the nineteen and the begining of the twentieth centuries such as Castelnuovo,
Chisini, Del Pezzo, Enriques and Severi to cite a few).
Significant results have been obtained by Prof. Brian Harbourne from the
University of Nebraska-Lincoln (USA) between 1985 and 2009, also in the period
2002-2009 by the members of the research group, calles Singacom, of the
University of Valladolid (Spain) and whose coordinator is Prof. Antonio
Campillo. Recently, between 2007 and 2010, the members of the group, called
Algebraic Geometry Team, of the University of Michoacan and whose
coordinator is Prof. Mustapha Lahyane have obtained significant results about
the Geometry of new classes of smooth projective rational surfaces over an
algebraically closed field of any characteristic. The results are based on two
new concepts: the first is numerical and the second is a generalization of the
so called Enriques diagrams (Enriques diagrams have been used intensively by
the members of the Singacom group, by the Barcelona group whose coordinator is
Prof. Eduardo Casas-Alvero and by Prof. Gerard Gonzalez-Sprinberg from the University of Grenoble (France)) .
The picture shows a new family of smooth projective rational surfaces whose
all geometries, except the two irreducible and reduced curves (the two green
ones in the picture), are encoded in a well-defined divisor associated to the
surface. This amazing result constitutes a particular case of many results
obtained by Prof. Mustapha Lahyane (IFM-UMSNH) and which are published in the
volume 214 (issue 7, July 2010, pages 1217-1248) of the Jorunal of Pure and Applied Algebra.
|
[Previous outstanding results]
[Noticias y resultados
relevantes de meses anteriores]
|
|
Instituto de Física y Matemáticas,
Universidad Michoacana de San Nicolás de Hidalgo. Edificio C-3, Cd. Universitaria.
C. P. 58040 Morelia, Michoacán, México.
Teléfonos: +52 (443) 322 3500, ext. 4140
--> Directorio del IFM
|
|