Abstract
Given Σ⊂R:=K[x1,…,xk], where K is a field of characteristic 0, any finite collection of linear forms defining a hyperplane arrangement in Pk−1 and any 1≤a≤|Σ| satisfying |Σ|−a≥k, we prove that the ideal generated by all a-fold products of Σ, denoted by Ia(Σ), is of fiber type. Moreover, we verify a conjecture of Mantero, Miranda-Neto and Nagel on symbolic powers for the class of ideals generated by (|Σ|−1)-fold products defined by a generic hyperplane arrangement.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
