The explosion mechanism associated with thermonuclear supernovae is still a matter of debate. Since huge amounts of radioactive elements are synthesized during such explosions, it is possible to use the associated γ-ray emission as a diagnostic tool. In this paper we show, however, that for some values of the parameters that characterize the burning front propagation, the signatures overlap, thus
... [Show full abstract] avoiding a clear distinction among them. We also display some preliminary results obtained from 3-D simulations showing the influence of inhomogeneities in the γ-ray spectrum.