Let Z be a set of d=et distinct points on some plane embedded in the projective space P3 (over the complex field). We study the following problem: Is there a curve C in P3, of degree t, such that (in other words, Z is complete intersection of C with some surface of degree e?
Chiantini, L. (1992). Plane sections of curves of low genus. In Algebraic K-Theory, Commutative Algebra, and Algebraic Geometry (pp. 9-19). Providence : American Mathematical Society.
Plane sections of curves of low genus
CHIANTINI, LUCA
1992-01-01
Abstract
Let Z be a set of d=et distinct points on some plane embedded in the projective space P3 (over the complex field). We study the following problem: Is there a curve C in P3, of degree t, such that (in other words, Z is complete intersection of C with some surface of degree e?
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