On meromorphic functions defined by a differential system of order 1
Torrelli, Tristan
HAL, hal-00146433 / Harvested from HAL
Text on HAL
Given a germ h of holomorphic function on (C^n,0), we study the condition "the ideal Ann_D 1/h is generated by operators of order one." We obtain here full characterizations in the particular cases of Hoszul-free germs and unreduced germ of plane curves. Moreover, we prove that this condition holds for a special type of hypersurface arrangements. These results allow us to link this condition to the comparison of de Rham complexes associated with h.
Publié le : 2004-07-05
Classification:  Germs of meromorphic functions,  D-modules,  free divisors,  arrangements of hyperplanes,  logarithmic de Rham complex,  logarithmic comparison theorem,  32C38 ; 32S25 ; 14F10 ; 14F40,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00146433,
     author = {Torrelli, Tristan},
     title = {On meromorphic functions defined by a differential system of order 1},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00146433}
}

Torrelli, Tristan. On meromorphic functions defined by a differential system of order 1. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00146433/