Abstract
Let $C$ be a complete nonsingular curve over an algebrically closed field $K$ and $L$ a very ample invertible sheaf on $C$. We denote by $\phi_{L}$: $C\rightarrow P(H^{0}(L))$, the projective embedding of $C$ by means of the vector space $H^{0}(C, L)$. There are two purposes in this paper. One is to the question: What is the intersection of quadrics through $\phi_{L}(C)$? The other is to answer the question: What degrees are the minimal generators of the associated homogeneous ideal?
Citation
Katsumi Akahori. "The intersection of quadrics and defining equations of a projective curve." Tsukuba J. Math. 20 (2) 413 - 424, December 1996. https://doi.org/10.21099/tkbjm/1496163091
Information