Hilbert functions of monomial curves. (English) Zbl 1078.13509
Summary: We study the Hilbert function of certain projective monomial curves. We determine which of our curves are Cohen-Macaulay, and find the Cohen-Macaulay type of those that are Cohen-Macaulay.
MSC:
| 13D40 | Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series |
| 14H45 | Special algebraic curves and curves of low genus |
| 14M05 | Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) |
Software:
Macaulay2References:
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