On the Betti numbers of perfect ideals

G. Valla

Compositio Mathematica (1994)

  • Volume: 91, Issue: 3, page 305-319
  • ISSN: 0010-437X

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Valla, G.. "On the Betti numbers of perfect ideals." Compositio Mathematica 91.3 (1994): 305-319. <http://eudml.org/doc/90293>.

@article{Valla1994,
author = {Valla, G.},
journal = {Compositio Mathematica},
keywords = {arithmetically Cohen-Macaulay; Betti numbers; Hilbert function},
language = {eng},
number = {3},
pages = {305-319},
publisher = {Kluwer Academic Publishers},
title = {On the Betti numbers of perfect ideals},
url = {http://eudml.org/doc/90293},
volume = {91},
year = {1994},
}

TY - JOUR
AU - Valla, G.
TI - On the Betti numbers of perfect ideals
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 91
IS - 3
SP - 305
EP - 319
LA - eng
KW - arithmetically Cohen-Macaulay; Betti numbers; Hilbert function
UR - http://eudml.org/doc/90293
ER -

References

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  1. [B] Bigatti, A.M.: Upper bounds for the Betti numbers of a given Hilbert function (1992). To appear. Zbl0817.13007MR1218500
  2. [EGV] Elias, J., Geramita, A.V., Valla, G.: On the Cohen-Macaulay type of perfect ideals (1992), preprint. 
  3. [EK] Eliahou, S., Kervaire, M.: Minimal resolution of some monomial ideal. J. Algebra129(1) (1990) 1-25. Zbl0701.13006MR1037391
  4. [EI] Elias, J., Iarrobino, A.: Extremal Gorenstein algebras of codimension three; the Hilbert function of a Cohen-Macaulay local algebra. J. Algebra110 (1987) 344-356. Zbl0628.13016MR910388
  5. [ERV] Elias, J., Robbiano, L., Valla, G.: Number of generators of ideals. Nagoya Math. J.123 (1991) 39-76. Zbl0714.13016MR1126182
  6. [GGR] Geramita, A.V., Gregory, D., Roberts, L.: Monomial ideals and points in projective space. J. Pure and Applied Alg.40 (1986) 33-62. Zbl0586.13015MR825180
  7. [HRV] Herzog, J., Rossi, M.E., Valla, G.: On the depth of the symmetric algebra. Trans. Amer. Math. Soc.296(2) (1986) 577-606. Zbl0604.13008MR846598
  8. [H] Hulett, H.A.: Maximum Betti numbers of homogeneous ideals with a given Hilbert function (1992). To appear. Zbl0817.13006MR1218501
  9. [M] Macaulay, F.S.: Some property of enumeration in the theory of modular systems. Proc. London Math. Soc.26 (1927) 531-555. Zbl53.0104.01JFM53.0104.01
  10. [S] Stanley, R.P.: Hilbert functions of graded algebras. Adv. Math.28 (1978) 57-83. Zbl0384.13012MR485835

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