Ramified coverings and Gaussian maps of smooth algebraic curves (original) (raw)

Ramified coverings and Gaussian maps of smooth algebraic curves

Kodai Mathematical Journal, 2005

Abstract

ABSTRACT We show the existence of special curves which are ramified coverings of irrational curves with surjective Wahl maps. We also show the failure of a key property of Gaussian maps in positive characteristic, i.e. the Gherardelli's lower bound for the rank of a Gaussian map.

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