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| DOI | 10.4171/RSMUP/136-9 | ||||
| Año | 2016 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
In this paper we mainly describe Q-Gorenstein smoothings of projective surfaces with only Wahl singularities which have birational fibers. For instance, these degenerations appear in normal degenerations of P-2, and in boundary divisors of the KSBA compactification of the moduli space of surfaces of general type [15]. We give an explicit description of them as smooth deformations plus 3-fold birational operations, through the flips and divisorial contractions in [9]. We interpret the continuous part (smooth deformations) as degenerations of certain curves in the general fiber. At the end, we work out examples happening in the KSBA boundary for invariants K-2 = 1, p(g) = 0, and pi(1) = 0 using plane curves.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | URZUA-ELIA, GIANCARLO ANDRES | Hombre |
Pontificia Universidad Católica de Chile - Chile
Facultad de Matemáticas - Chile |
| Fuente |
|---|
| Fondo Nacional de Desarrollo Científico y Tecnológico |
| Fondo Nacional de Desarrollo CientÃfico y Tecnológico |
| FONDECYT - Chilean Government |
| Agradecimiento |
|---|
| I have benefited from many conversations with Paul Hacking and Jenia Tevelev. I was supported by the FONDECYT Inicio grant 11110047 funded by the Chilean Government. |
| I have benefied frommany conversationswith PaulHacking and Jenia Tevelev. I was supported by the FONDECYT Inicio grant 11110047 funded by the Chilean Government. |