manuscripta mathematica

, Volume 94, Issue 1, pp 303-317

First online:

Subextremal curves

  • Scott NolletAffiliated withUniversity of Barcelona

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In this paper we improve known bounds on the Rao function for non-extremal curves, as well extending these results to nonzero characteristic. These improved bounds are shown to be sharp, and the curves which yield sharpness are classified. Schlesinger’s notion of the spectrum of a curve is introduced and used to streamline proofs.