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Items for "gonality"

On the surjectivity of the canonical Gaussian map for multiple coverings

Here we investigate the canonical Gaussian map for higher multiple coverings of curves, the case of double coverings being completely understood thanks to previous work by Duflot...

Keywords: Gaussian map, Wahl map, multiple covering, gonality, total ramification

07/2006 | Advances in Geometry, Walter de Gruyter
Special curves defined over a finite field: plane models and gonality

Here we construct smooth curves X of genus g defined over and with prescribed geometrical properties: a suitable plane model or a degree k morphism defined over and with a fiber formed by k elements of .

Keywords: gonality, plane curve, linear projection, curves over a finite field

07/2007 | Advances in Geometry, Walter de Gruyter