Some conjectures about the Hilbert series of generic ideals in the exterior algebra

2000/07/31 by Jan Snellman, Guillermo Moreno-Socias
Mathematics · #math.AC #msc:15A75 #msc:13D40

paper · pdf

published as Homology, homotopy and applications, volume 4, no 2, 2002, pages 409-426 · 14 pages, no figures, LaTeX2e

arxiv created 2002/03/11 · arxiv updated 2009/11/30

Abstract

We give conjectures on the "asymptotic" behaviour of the Hilbert series of (quotients by) generic ideals in the exterior algebra, as the number of variables tend to infinity. Our conjectures are supported by extensive computer calculations.

Related

• Hilbert series of generic ideals in products of projective spaces
• Sets of Hilbert series and their applications
• Ideals of generic forms
• The initial ideal of generic sequences and Fröberg's Conjecture
• Generalised Hilbert Numerators II