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On Castelnuovo-Mumford regularity of projective curves
Author(s):
Isabel
Bermejo;
Philippe
Gimenez
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1293-1299.
MSC (1991):
Primary 13D45;
Secondary 14Q05, 13D40
Posted:
August 5, 1999
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Abstract:
We give an effective method to compute the regularity of a saturated ideal  defining a projective curve that also determines in which step of a minimal graded free resolution of  the regularity is attained.
References:
- 1.
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- 2.
- D. Bayer and D. Mumford, What can be computed in Algebraic Geometry? In: Computational Algebraic Geometry and Commutative Algebra, Proceedings Cortona 1991 (D. Eisenbud and L. Robbiano, Eds.), Cambridge University Press, 1993, 1-48. MR 95d:13032
- 3.
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 -regularity, Invent. Math. 87 (1987) 1-11. MR 87k:13019 - 4.
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Additional Information:
Isabel
Bermejo
Affiliation:
Departamento de Matematica Fundamental, Facultad de Matematicas, Universidad de La Laguna, 38271-La Laguna, Tenerife, Spain
Email:
ibermejo@ull.es
Philippe
Gimenez
Affiliation:
Departamento de Algebra, Geometria y Topologia, Facultad de Ciencias, Universidad de Valladolid, 47005-Valladolid, Spain
Email:
pgimenez@wamba.cpd.uva.es
DOI:
10.1090/S0002-9939-99-05184-9
PII:
S 0002-9939(99)05184-9
Keywords:
Regularity,
projective curves,
Hilbert functions
Received by editor(s):
June 23, 1998
Posted:
August 5, 1999
Additional Notes:
The first author was supported in part by D.G.U.I., Gobierno de Canarias.
The second author was supported in part by D.G.I.C.Y.T., PB94-1111-C02-01.
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
2000,
American Mathematical Society
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