2010A&A...519A..73C

The Amati relation, which connects the isotropic energy emitted and the rest-frame peak energy of the νFν spectra of GRBs, is cosmology-dependent, so we need a method to obtain an independent calibration of the Amati relation. Using the Union Supernovae Ia catalog, we obtain a cosmographic luminosity distance in the y-redshift and verify that this parameterization very well approximates the fiducial standard cosmological model ΛCDM. Using this cosmographic luminosity distance d_l, we compute the Amati relation considering this cosmology-independent definition of d_l. The cosmographic Amati relation we obtain agrees in the errors with other cosmology-independent calibrations proposed in the literature.