Hilbert series of generic ideals in products of projective spaces

2021/02/23 by Fröberg, Ralf
#13D40 #13P99 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2102.11516

Abstract

If I=(f₁,…,f_r) is an ideal in S=k[x₁,…,x_n], and f_i are "general" elements of given degrees, there is a conjecture on the Hilbert series of S/I. We are considering the corresponding concepts in bigraded rings.

Related

• Some conjectures about the Hilbert series of generic ideals in the exterior algebra
• Ideals of generic forms
• Gröbner Bases of Generic Ideals
• Sets of Hilbert series and their applications
• The initial ideal of generic sequences and Fröberg's Conjecture