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.
Hirschowitz, Probl\`emes de Brill–Noether en rang superieur , Pr\`epublications Math\'ematiques, No
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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.