Computing the Castelnuovo-Mumford regularity of some subschemes of PKn using quotients of monomial ideals

Journal of Pure and Applied Algebra

Volumn 164, Issue 1-2, 2001, Pages 23-33

  Bermejo, Isabel ^a   Gimenez, Philippe ^b  

^a UNIVERSIDAD DE LA LAGUNA   (Spain)

^b Departamento De Algebra   (Spain)

Author keywords

13D02; 13D45; 13P10; 14M05; 14Q05

Indexed keywords

EID: 0041366959     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(00)00143-2     Document Type: Article

References (8)

1. Bayer D., Mumford D. What can be computed in algebraic geometry? Eisenbud D., Robbiano L. Computational Algebraic Geometry and Commutative Algebra, Proceedings Cortona 1991. 1993;1-48 Cambridge University Press, Cambridge.
2. Bayer D., Stillman M. A criterion for detecting. m -regularity Invent. Math. 87:1987;1-11.
3. Bermejo I., Gimenez Ph. On Castelnuovo-Mumford regularity of projective curves. Proc. Amer. Math. Soc. 128:2000;1293-1298.
4. I. Bermejo, Ph. Gimenez, G.M. Greuel, mregular.lib, a library for computing the Castelnuovo-Mumford regularity, SINGULAR 1.3.8, 2000.
5. Bermejo I., Lejeune-Jalabert M. Sur la compléxité du calcul des projections d'une courbe projective. Comm. Algebra. 27(7):1999;3211-3220.
6. Eisenbud D. Commutative Algebra With a View Toward Algebraic Geometry. Graduate Texts in Mathematics. vol. 150:1995;Springer, Berlin.
7. G.M. Greuel, G. Pfister, H. Schoenemann, SINGULAR Version 1.2 User Manual, Reports On Computer Algebra vol. 21, Center for Computer Algebra, University of Kaiserslautern, June 1998. http://www.singular.uni-kl.de.
8. Lejeune-Jalabert M. Effectivité de calculs polynomiaux. 1984-85;Cours de D.E.A., Institut Fourier, Grenoble.