Displaying similar documents to “The equations of space curves on a quadric.”

Five-gonal curves of genus nine.

Marc Coppens (2005)

Collectanea Mathematica

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Let C be a smooth 5-gonal curve of genus 9. Assume all linear systems g on C are of type I (i.e. they can be counted with multiplicity 1) and let m be the numer of linear systems g on C. The only possibilities are m=1; m=2; m=3 and m=6. Each of those possibilities occur.

The degree of the secant variety and the join of monomial curves.

Kristian Ranestad (2006)

Collectanea Mathematica

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A monomial curve is a curve parametrized by monomials. The degree of the secant variety of a monomial curve is given in terms of the sequence of exponents of the monomials defining the curve. Likewise, the degree of the join of two monomial curves is given in terms of the two sequences of exponents.

ACM embeddings of curves of a quadric surface

S. Giuffrida, R. Maggioni, R. Re (2007)

Collectanea Mathematica

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Let C be a smooth integral projective curve admitting two pencils g and g such that g + g is birational. We give conditions in order that the complete linear system |sg + rg | be normally generated or very ample.