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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/1010| On F-pure thresholds: computations and relations to others invariants | |
| Delio Jaramillo Velez | |
| Acceso Abierto | |
| Atribución-NoComercial | |
| F-pure thresholds | |
| The main object in this thesis is the F-pure threshold associated to a polynomial f. This threshold is a rational number in [0,1], with smaller values that suggest worse singularities for the hypersurface defined by the equation f = 0. First, we will present in a general way the relation between the main concept with Log-canonical threshold, and Bernstein-Sato polynomials. Then, we are going to show several examples of these relations. Particularly, we are going to compute the F-pure threshold of a Thom-Sebastiani-type sum, and the F-pure threshold of a determinantal ideal of maximal size. Finally, we will use the Fpure threshold to find and compare roots of Bernstein-Sato polynomials. | |
| 15-07-2019 | |
| Tesis de maestría | |
| OTRAS | |
| Versión aceptada | |
| acceptedVersion - Versión aceptada | |
| Aparece en las colecciones: | Tesis del CIMAT |
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| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| TE 734.pdf | 4.5 MB | Adobe PDF | Visualizar/Abrir |