Year: 2025
Type: article
Abstract: Let R = k [ x 1 , … , x d ] ( d ≥ 3 ) R = k[x_1,\ldots , x_d] (d\geq 3) denote a standard graded polynomial ring over an algebraically closed field k k , and let I ⊂ R I \subset R be a perfect ideal of codimension 2 2 with an n × ( n − 1 ) n\times (n-1) linear presentation matrix. We prove an extended formulation of a theorem of Morey and Ulrich in the case where I I satisfies condition G d − 1 G_{d-1} , but not condition G d G_d .
DOI: 10.1090/proc/17500
Authors: Thiago Fiel, Zaqueu Ramos, Aron Simis
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G488850994, G914585379
OpenAlex ID: W7106576375