Segre numbers s_P for principal G-bundles over curves are semicontinuous, define moduli stratifications, relate under surjective homomorphisms, and satisfy a Hirschowitz-type bound for the Borel subgroup of GL_3.
Univ.\ of Kansas, 1958, https://webusers.imj-prg.fr/\ leila.schneps/grothendieckcircle/Kansasnotes.pdf
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Segre invariants of principal bundles over a curve
Segre numbers s_P for principal G-bundles over curves are semicontinuous, define moduli stratifications, relate under surjective homomorphisms, and satisfy a Hirschowitz-type bound for the Borel subgroup of GL_3.