# name
On the Gorenstein property of the diagonals of the Rees algebra. (Dedicated to the memory of Fernando Serrano.)

# metadata.dc.description.abstract[].value
Let Y be a closed subscheme of Pn−1
k defined by a homogeneous ideal
I⊂ A=k[X1,...,Xn], and X obtained by blowing up Pn−1
k along Y. Denote by
Ic the degree c part of I and assume that I is generated by forms of degree
≤ d. Then the rings k[(Ie)c] are coordinate rings of projective embeddings of X
in PN−1
k , where N=dimk(Ie)c for c ≥ de+1. The aim of this paper is to study
the Gorenstein property of the rings k[(Ie)c] . Under mild hypothesis we prove
that there exist at most a finite number of diagonals (c, e) such that k[(Ie)c] is
Gorenstein, and we determine them for several families of ideals.

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
On the Gorenstein property of the diagonals of the Rees algebra. (Dedicated to the memory of Fernando Serrano.)