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- Title
DEFINING EQUATIONS OF THE REES ALGEBRA OF CERTAIN PARAMETRIC SURFACES.
- Authors
HOFFMAN, J. WILLIAM; WANG, HAOHAO; Ara, P.
- Abstract
Let f0, f1, f2, f3 be linearly independent nonzero homogeneous polynomials in the standard ℤ-graded ring R ≔ 핂[s, t, u] of the same degree d, and gcd(f0, f1, f2, f3) = 1. This defines a rational map 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 the R-algebra homomorphism h: R[x, y, z, w ] → Rees(I). This paper discusses one result concerning the structure of the kernel of the map h when I is a saturated local complete intersection ideal with V(I) ≠ ∅ and μ-basis of degrees (1,1,d - 2).
- Subjects
HOMOMORPHISMS; ALGEBRA; POLYNOMIALS; HOMOLOGY theory; SYZYGIES (Mathematics); MATHEMATICAL mappings; IDEALS (Algebra)
- Publication
Journal of Algebra & Its Applications, 2010, Vol 9, Issue 6, p1033
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498810004385