The binomial ideal of the intersection axiom for conditional probabilities
arXiv:0902.1495
Abstract
The binomial ideal associated with the intersection axiom of conditional probability is shown to be radical and is expressed as intersection of toric prime ideals. This resolves a conjecture in algebraic statistics due to Cartwright and Engström.
7 pages. Main proof rewritten to foreground equalities of Hilbert functions, for clarity; other minor changes