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- Title
LIFTINGS OF A MONOMIAL CURVE.
- Authors
ŞAHİN, MESUT
- Abstract
We study an operation, that we call lifting, creating nonisomorphic monomial curves from a single monomial curve. Our main result says that all but finitely many liftings of a monomial curve have Cohen–Macaulay tangent cones even if the tangent cone of the original curve is not Cohen–Macaulay. This implies that the Betti sequence of the tangent cone is eventually constant under this operation. Moreover, all liftings have Cohen–Macaulay tangent cones when the original monomial curve has a Cohen–Macaulay tangent cone. In this case, all the Betti sequences are just the Betti sequence of the original curve.
- Subjects
COHEN-Macaulay rings; CURVED surfaces; BETTI numbers; TANGENT function; SEMIGROUP rings
- Publication
Bulletin of the Australian Mathematical Society, 2018, Vol 98, Issue 2, p230
- ISSN
0004-9727
- Publication type
Article
- DOI
10.1017/S0004972718000400