The Stanley–Reisner Ideals of Polygons as Set-Theoretic Complete Intersections
نویسندگان
چکیده
منابع مشابه
The Stanley-Reisner ideals of polygons as set-theoretic complete intersections
We show that the Stanley-Reisner ideal of the one-dimensional simplicial complex whose diagram is an n-gon is always a set-theoretic complete intersection in any positive characteristic.
متن کاملSET-THEORETIC COMPLETE INTERSECTIONS IN CHARACTERISTIC p
We describe a class of toric varieties which are set-theoretic complete intersections only over fields of one positive characteristic p.
متن کاملNew Classes of Set-theoretic Complete Intersection Monomial Ideals
Let ∆ be a simplicial complex and χ be an s-coloring of ∆. Biermann and Van Tuyl have introduced the simplicial complex ∆χ. As a corollary of Theorems 5 and 7 in their 2013 article, we obtain that the Stanley–Reisner ring of ∆χ over a field is Cohen–Macaulay. In this note, we generalize this corollary by proving that the Stanley–Reisner ideal of ∆χ over a field is set-theoretic complete interse...
متن کاملOn toric varieties which are almost set-theoretic complete intersections
We describe a class of affine toric varieties V that are set-theoretically minimally defined by codimV + 1 binomial equations over fields of any characteristic.
متن کاملAlmost set-theoretic complete intersections in characteristic zero
We present a class of toric varieties V which, over any algebraically closed field of characteristic zero, are defined by codim V +1 binomial equations .
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2011
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927871003597634