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

This document is currently not available here.

Share

COinS