Monomial space curves in ${\bf A}\sp{3}$ as set-theoretic complete intersections
نویسندگان
چکیده
منابع مشابه
Space Curves as Complete Intersections
This is an expository account based mainly on an article by Jack Ohm titled “Space curves as ideal-theoretic intersections”. It also gives a proof of the fact that smooth space curves can be realized as set-theoretic complete intersections. The penultimate section proves the theorem of Cowsik and Nori : Curves in affine n-space of characteristic p are set-theoretic complete intersection.
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In this paper we produce infinitely many examples of set-theoretic complete intersection monomial curves in P n+1 , starting with a set-theoretic complete intersection monomial curve in P n. In most of the cases our results cannot be obtained through semigroup gluing technique and we can tell apart explicitly which cases are new.
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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...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1979
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1979-0529205-5