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- Title
A Note on Quadratically Parametrized Surfaces.
- Authors
Hoffman, J. William; Haohao Wang
- 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).
- Subjects
PARAMETERIZATION; QUADRATIC equations; RING theory; HOMOMORPHISMS; FREE resolutions (Algebra); ABSTRACT algebra
- Publication
Algebra Colloquium, 2014, Vol 21, Issue 3, p461
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386714000406