ON THE REGULARITY AND HILBERT FUNCTION OF PROJECTIVE MONOMIAL CURVES

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OMIDALI M.; RAHMATI F.

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Journal Paper

Paper Information

Journal: AMIRKABIR Year:2006 | Volume:16 | Issue:63-E Page(s): 1-7

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Information Journal Paper

Title

ON THE REGULARITY AND HILBERT FUNCTION OF PROJECTIVE MONOMIAL CURVES

Author(s)

OMIDALI M. | RAHMATI F. | Issue Writer Certificate

Keywords

HILBERT FUNCTION

MONOMIAL CURVES

REGULARITY

TORIC VARIETIES

Abstract

In this paper we present a method for computing the HILBERT FUNCTION and REGULARITY of projective MONOMIAL CURVES. This method is based on ordering of the numerical semigroup associated to the generating set of the curve. We introduce a certain subset of the numerical semigroup associated to a projective monomial curve, which is served as an important base for it. One of the advantages of using this method is that it is independent from the computation of a minimal graded free resolution of the graded coordinate rings of these curves that needs the computation of syzygy modules of the defining ideal. In addition, this method is useful for systematic search for certain projective MONOMIAL CURVES with desired properties.

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APA: Copy

OMIDALI, M., & RAHMATI, F.. (2006). ON THE REGULARITY AND HILBERT FUNCTION OF PROJECTIVE MONOMIAL CURVES. AMIRKABIR, 16(63-E), 1-7. SID. https://sid.ir/paper/535457/en

Vancouver: Copy

OMIDALI M., RAHMATI F.. ON THE REGULARITY AND HILBERT FUNCTION OF PROJECTIVE MONOMIAL CURVES. AMIRKABIR[Internet]. 2006;16(63-E):1-7. Available from: https://sid.ir/paper/535457/en

IEEE: Copy

M. OMIDALI, and F. RAHMATI, “ON THE REGULARITY AND HILBERT FUNCTION OF PROJECTIVE MONOMIAL CURVES,” AMIRKABIR, vol. 16, no. 63-E, pp. 1–7, 2006, [Online]. Available: https://sid.ir/paper/535457/en

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