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arXiv · alg-geom/9309005

Differential-geometric methods for the lifting problem and linear systems on plane curves

Emilia Mezzetti
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Abstract

Let $X$ be an integral projective variety of codimension two, degree $d$ and dimension $r$ and $Y$ be its general hyperplane section. The problem of lifting generators of minimal degree $σ$ from the homogeneous ideal of $Y$ to the homogeneous ideal of $X$ is studied. A conjecture is given in terms of $d$, $r$ and $σ$; it is proved in the cases $r=1,2,3$. A description is given of linear systems on smooth plane curves whose dimension is almost maximal.

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Emilia Mezzetti. 1993-09-23. Differential-geometric methods for the lifting problem and linear systems on plane curves. https://arxiv.org/abs/alg-geom/9309005

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