## On the Gauss maps of space curves in characteristic $$p$$. II.(English)Zbl 0756.14021

[For part I see ibid. 70, No. 2, 177-197 (1989; Zbl 0692.14015).]
Let $$C$$ be a smooth irreducible complete curve over an algebraically closed field of characteristic $$p>0$$. The author studies the Gauss map of a morphism $$\iota$$ of $$C$$ into a projective space when:
(i) $$C$$ is elliptic and $$\iota$$ is unramified;
(ii) $$C$$ has genus $$g\geq 2$$ and the sheaf of relative differentials has degree less than $$2g-2$$.
For (i) the main new result is that when $$C$$ is ordinary the Gauss map gives rise to a cyclic étale cover of jacobians; for (ii) that the Gauss map has separable degree 1.

### MSC:

 14H50 Plane and space curves 14G15 Finite ground fields in algebraic geometry

Zbl 0692.14015
Full Text:

### References:

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