The reduction number of an algebra

Wolmer V. Vasconcelos

Compositio Mathematica (1996)

  • Volume: 104, Issue: 2, page 189-197
  • ISSN: 0010-437X

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Vasconcelos, Wolmer V.. "The reduction number of an algebra." Compositio Mathematica 104.2 (1996): 189-197. <http://eudml.org/doc/90486>.

@article{Vasconcelos1996,
author = {Vasconcelos, Wolmer V.},
journal = {Compositio Mathematica},
keywords = {graded algebra; complexities; reduction number; Castelnuovo-Mumford regularity; arithmetic degree; Noether normalization},
language = {eng},
number = {2},
pages = {189-197},
publisher = {Kluwer Academic Publishers},
title = {The reduction number of an algebra},
url = {http://eudml.org/doc/90486},
volume = {104},
year = {1996},
}

TY - JOUR
AU - Vasconcelos, Wolmer V.
TI - The reduction number of an algebra
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 104
IS - 2
SP - 189
EP - 197
LA - eng
KW - graded algebra; complexities; reduction number; Castelnuovo-Mumford regularity; arithmetic degree; Noether normalization
UR - http://eudml.org/doc/90486
ER -

References

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  2. 2 Bayer, D. and Mumford, D.: 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, pp. 1—48. Zbl0846.13017
  3. 3 Bayer, D. and Stillman, M.: Macaulay: A system for computation in algebraic geometry and commutative algebra, 1992. Available via anonymous ftp from zariski. harvard. edu. 
  4. 4 Bruns, W. and Herzog, J.: Cohen-Macaulay Rings, Cambridge University Press, Cambridge, 1993. Zbl0788.13005MR1251956
  5. 5 Eisenbud, D. and Goto, S.: Linear free resolutions and minimal multiplicities, J. Algebra88 (1984) 89-133. Zbl0531.13015MR741934
  6. 6 Gräbe, H.-G.: Moduln Über Streckungsringen, Results in Mathematics15 (1989) 202-220. Zbl0694.13006MR997060
  7. 7 Gulliksen, T.H.: On the length of faithful modules over Artinian local rings, Math. Scand.31 (1972) 78-82. Zbl0247.13008MR314820
  8. 8 Hartshorne, R.: Connectedness of the Hilbert scheme, Publications Math. I.H.E.S.29 (1966) 261-304. Zbl0171.41502MR213368
  9. 9 Ooishi, A.: Castelnuovo's regularity of graded rings and modules, Hiroshima Math. J.12 (1982) 627-644. Zbl0557.13007MR676563
  10. 10 Schur, I.: Zur Theorie der Vertauschbären Matrizen, J. reine angew. Math.130 (1905) 66-76. Zbl36.0140.01JFM36.0140.01
  11. 11 Sjödin, G.: On filtered modules and their associated graded modules, Math. Scand.33 (1973) 229-249. Zbl0283.16018MR364351
  12. 12 Sturmfels, B., Trung, N.V. and Vogel, W.: Bounds on degrees of projective schemes, Math. Annalen302 (1995) 417-432. Zbl0828.14040MR1339920
  13. 13 Trung, N.V.: Reduction exponent and degree bound for the defining equations of graded rings, Proc. Amer. Math. Soc.101 (1987) 229-236. Zbl0641.13016MR902533

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