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Syzygies and the Rees algebra by David Cox; J. William Hoffman; Haohao Wang is a Mathematics article available to read on EtoBox.

What is Syzygies and the Rees algebra about?

Let a, b, c be linearly independent homogeneous polynomials in the standard Z-graded ring R := k[s, t] with the same degree d and no common divisors. This defines a morphism P 1 → P 2 . The Rees algebra Rees(I is the graded R-algebra which can be described as the image of an R-algebra homomorphism h: R[x, y, z] → Rees(I ). This paper discusses one result concerning the structure of the kernel of the map h and its relation to the problem of finding the implicit equation of the image of the map given by a, b, c. In particular, we prove a conjecture of Hong, Simis and Vasconcelos. We also relate our results to the theory of adjoint curves and prove a special case of a conjecture of Cox.

Who reads Syzygies and the Rees algebra?

Author

David Cox; J. William Hoffman; Haohao Wang

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0022-4049)

Published

2008

Language

EN

Field

Mathematics (Physical Sciences)