The Hilbert function of generic plane sections of curves of IP3.
Curves on a smooth quadric.
We associate to every curve on a smooth quadric a polynomial equation that defines it as a divisor; this polynomial is defined through a matrix. In this way we can study several properties of these curves; in particular we can give a geometrical meaning to the rank of the matrix which defines the curve.
Resolutions of generic points lying on a smooth quadric.
ACM embeddings of curves of a quadric surface
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.
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