Artículo
Exponents of Some One-Dimensional Gauss–Manin Systems
Autor/es | Castaño Domínguez, Alberto |
Departamento | Universidad de Sevilla. Departamento de Álgebra |
Fecha de publicación | 2017-07-03 |
Fecha de depósito | 2021-03-19 |
Publicado en |
|
Resumen | In this paper we provide a purely algebraic characterization of the exponents of one-dimensional direct images of a structure sheaf by a rational function, related to the vanishing of the cohomologies of a certain Koszul ... In this paper we provide a purely algebraic characterization of the exponents of one-dimensional direct images of a structure sheaf by a rational function, related to the vanishing of the cohomologies of a certain Koszul complex associated with such a morphism. This can be extended to a more general family of Gauss–Manin systems. As an application, we calculate a set of possible exponents of the Gauss–Manin cohomology of some arrangements of hyperplanes with multiplicities, relevant to Dwork families and mirror symmetry. |
Cita | Castaño Domínguez, A. (2017). Exponents of Some One-Dimensional Gauss–Manin Systems. Publications of the Research Institute for Mathematical Sciences (PRIMS), 53 (3), 431-455. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
Koszul exponentes final.pdf | 454.0Kb | [PDF] | Ver/ | |