@article{10272/13292,
year = {2011},
url = {http://hdl.handle.net/10272/13292},
abstract = {We characterize the nilpotent systems whose lowest degree quasihomogeneous term is (y, σ xn)T, σ = ±1, which have an algebraic inverse integrating factor over C((x,y)) . In such cases, we show that the systems admit an inverse integrating factor of the form (h+ . . . )q with h = 2σ xn+1 − (n + 1)y2 and q a rational number. We analyze its uniqueness modulus a multiplicative constant.},
organization = {This work has been partially supported by Ministerio de Ciencia y Tecnología, Plan
Nacional I+D+I co-financed with FEDER funds, in the frame of the projects MTM2007-64193 and
MTM2010-20907-C02-02, and by Consejería de Educación y Ciencia de la Junta de Andalucía (FQM-276
and P08-FQM-03770).},
publisher = {Springer Verlag},
title = {Nilpotent Systems Admitting an Algebraic Inverse Integrating Factor over C((x,y))},
doi = {10.1007/s12346-011-0046-9},
author = {Algaba Durán, Antonio and García García, Cristóbal, Matemático and Reyes Columé, Manuel},
}