Title
A note on quadratically parametrized surfaces
Document Type
Article
Publication Date
1-1-2014
Abstract
Let f0, f1, f2, f3 be linearly independent homogeneous quadratic forms in the standard ℤ-graded ring R:= K[s,t,u], and gcd(f0,f1,f2,f3)=1. This defines a rational map φ: ℙ2→ ℙ3. The Rees algebra Rees(I)=R ⊕ I ⊕ I2⊕. of the ideal I= 〈f0,f1,f2,f3〉 is the graded R-algebra which can be described as the image of an R-algebra homomorphism h: R[x,y,z,w] → Rees(I). This paper discusses the free resolutions of I, and the structure of ker(h). © 2014 Academy of Mathematics and Systems Science, Chinese Academy of Sciences, and Suzhou University.
Publication Source (Journal or Book title)
Algebra Colloquium
First Page
461
Last Page
476
Recommended Citation
Hoffman, J., & Wang, H. (2014). A note on quadratically parametrized surfaces. Algebra Colloquium, 21 (3), 461-476. https://doi.org/10.1142/S1005386714000406