Products of ideals of linear forms in quadric hypersurfaces

2017/06/25 by Conca, Aldo, Nguyen, Hop D., Vu, Thanh
#13D02 #13D05 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.08066

Abstract

Conca and Herzog proved that any product of ideals of linear forms in a polynomial ring has a linear resolution. The goal of this paper is to establish the same result for any quadric hypersurface. The main tool we develop and use is a flexible version of Derksen and Sidman's approximation systems.

Related

• Linear resolutions of powers and products
• Castelnuovo-Mumford regularity of products of ideals
• On ideals generated by fold products of linear forms
• Monomial ideals whose powers have a linear resolution
• Isolated hypersurface singularities and polynomial realizations of affine quadrics