?? at first thinking that "monomial-flavored" (?? ...) ideals in comm monoid rings were (generally ... ?? ... ?? infinitesimal neighborhoods ... ??? ....) "non-toric" in having corresponding affine sub-variety being non-toric ... ??? but then realizing (?? ...) that what's actually "non-toric" here is mainly the embedding of the subvariety, rather than the subvariety itself .... ?? ....