Componentwise linear ideals with minimal or maximal Betti numbers

• Autores: Jürgen Herzog , Takayuki Hibi, Satoshi Murai, Yukihide Takayama
• Localización: Arkiv för matematik, ISSN 0004-2080, Vol. 46, Nº 1, 2008, págs. 69-75
• Idioma: inglés
• DOI: 10.1007/s11512-007-0046-9
• Texto completo no disponible (Saber más ...)
• Referencias bibliográficas
  • Aramova, A., Herzog, J. and Hibi, T., Ideals with stable Betti numbers, Adv. Math. 152 (2000), 72–77.
  • Babson, E., Novik, I. and Thomas, R., Reverse lexicographic and lexicographic shifting, J. Algebraic Combin. 23 (2006), 107–123.
  • Brun, M. and Römer, T., Betti numbers of Z n-graded modules, Comm. Algebra 32 (2004), 4589–4599.
  • Eisenbud, D., Commutative Algebra, Graduate Texts in Math. 150, Springer, Berlin–Heidelberg, 1995.
  • Eliahou, S. and Kervaire, M., Minimal resolutions of some monomial ideals, J. Algebra 129 (1990), 1–25.
  • Fröberg, R., Some complex constructions with applications to Poincaré series, in Séminaire d’Algèbre Paul Dubreil 31ème année (Paris, 1977–1978),...
  • Herzog, J. and Hibi, T., Componentwise linear ideals, Nagoya Math. J. 153 (1999), 141–153.
  • Herzog, J. and Zheng, X., Notes on the multiplicity conjecture, Collect. Math. 57 (2006), 211–226.
  • Murai, S. and Hibi, T., The depth of an ideal with a given Hilbert function, to appear in Proc. Amer. Math. Soc. arXiv:math.AC/0608188.
  • Okudaira, M. and Takayama, Y., Monomial ideals with linear quotients whose Taylor resolutions are minimal, Preprint, 2006. arXiv:math.AC/0610168.