Singular principal bundles on reducible nodal curves

Studying degenerations of moduli spaces semistable principal bundles on smooth curves leads to the problem constructing and studying singular curves. In this note, we will see that $\delta$-semistable pseudo a nodal curve constructed by first author become, for large values $\delta$, bundles. The latter are reasonable candidates potential basis further developments as irreducible particular, find notion semistability reducible understanding asymptotic behavior $\delta$-semistability rests lemma from geometric invariant theory. results allow construction universal space relative $\overline{\mathcal M}_g$ stable genus $g$.