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Plane projections of a smooth space curve

Trygve Johnsen (1996)

Banach Center Publications

Let C be a smooth non-degenerate integral curve of degree d and genus g in 3 over an algebraically closed field of characteristic zero. For each point P in 3 let V P be the linear system on C induced by the hyperplanes through P. By V P one maps C onto a plane curve C P , such a map can be seen as a projection of C from P. If P is not the vertex of a cone of bisecant lines, then C P will have only finitely many singular points; or to put it slightly different: The secant scheme S P = ( V P ) 2 1 parametrizing divisors in...

Projective quartics revisited

T. Szemberg, H. Tutaj-Gasińska (1999)

Annales Polonici Mathematici

We classify all smooth projective varieties of degree 4 and describe their syzygies.

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