Hilbert-Poincaré series of bigraded algebras

Lorenzo Robbiano; Giuseppe Valla

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 3, page 521-540
  • ISSN: 0392-4041

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Robbiano, Lorenzo, and Valla, Giuseppe. "Hilbert-Poincaré series of bigraded algebras." Bollettino dell'Unione Matematica Italiana 1-B.3 (1998): 521-540. <http://eudml.org/doc/194657>.

@article{Robbiano1998,
author = {Robbiano, Lorenzo, Valla, Giuseppe},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {bigraded algebra; Hadamard product; Hilbert-Poincaré series; bivariate separated series; algorithm},
language = {eng},
month = {10},
number = {3},
pages = {521-540},
publisher = {Unione Matematica Italiana},
title = {Hilbert-Poincaré series of bigraded algebras},
url = {http://eudml.org/doc/194657},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Robbiano, Lorenzo
AU - Valla, Giuseppe
TI - Hilbert-Poincaré series of bigraded algebras
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/10//
PB - Unione Matematica Italiana
VL - 1-B
IS - 3
SP - 521
EP - 540
LA - eng
KW - bigraded algebra; Hadamard product; Hilbert-Poincaré series; bivariate separated series; algorithm
UR - http://eudml.org/doc/194657
ER -

References

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  1. BIGATTI, A. M.- CAPANI, A.- NIESI, G.- ROBBIANO, L., Hilbert functions and elimination problems, in preparation. 
  2. BRUNS, W.- HERZOG, J., Cohen-Macaulay Rings, Cambridge University Press (1993). Zbl0788.13005MR1251956
  3. CUTKOVSKY, D.- HERZOG, J.- TRUNG, N. V., Asymptotic behaviour of the Castelnuovo-Mumford regularity, preprint. Zbl0974.13015
  4. CONCA, A.- HERZOG, J.- TRUNG, N. V.- VALLA, G., Diagonal subalgebras of bigraded algebras and embedding of blow-ups of projective spaces, Amer. J. Maths., 119 (1997), 859-901. Zbl0920.13003MR1465072
  5. CAPANI, A.- NIESI, G.- ROBBIANO, L., Some features of CoCoA3, Comput. Sci. J. Moldova, 4/3 (1996), 296-314. Zbl0920.68060
  6. CONCA, A.- VALLA, G., Hilbert functions of powers of ideals of low codimension, Math. Zeit., to appear. Zbl0927.13020MR1686559
  7. HUNEKE, C., On the Symmetric algebra of a module, J. Algebra, 69 (1981), 113-119. Zbl0467.13020MR613861
  8. KODIYALAM, V., Asymptotic behaviour of Castelnuovo-Mumford regularity, preprint. Zbl0929.13004MR1621961
  9. ROBBIANO, L., Introduction to the theory of Hilbert function, Queen's Papers Pure Appl. Math. B, 85 (1990), 1-B26. Zbl0816.13013MR1089895
  10. SIMIS, A.- TRUNG, N. V.- VALLA, G., The diagonal subalgebra of a blow-up algebra, J. Pure Appl. Algebra, 125 (1998), 305-328. Zbl0897.13012MR1600032

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