Hyperplane sections and the subtlety of the Lefschetz properties

• Autores: David Cook II, Uwe Nagel
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 216, Nº 1, 2012, págs. 108-114
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2011.05.007
• Texto completo no disponible (Saber más ...)
• Referencias bibliográficas
  • M. Boij, J. Migliore, R. Miró-Roig, U. Nagel, F. Zanello, On the shape of a pure O-sequence, Mem. Amer. Math. Soc. (in press).
  • H. Brenner, Looking out for stable syzygy bundles, Adv. Math. 219 (2008) 401–427.
  • H. Brenner, A. Kaid, Syzygy bundles on P2 and the Weak Lefschetz Property, Illinois J. Math. 51 (2007) 1299–1308.
  • H. Brenner, A. Kaid, A note on the weak Lefschetz property of monomial complete intersections in positive characteristic, Collect. Math. 62...
  • D. Cook II, U. Nagel, The weak Lefschetz property, monomial ideals, and lozenges, Illinois J. Math. (in press).
  • A. Geramita, D. Gregory, L. Roberts, Monomial Ideals and Points in Projective Space, J. Pure Appl. Algebra 40 (1986) 33–62.
  • D. Grayson, M. Stillman, Macaulay2, a software system for research in algebraic geometry, Available at http://www.math.uiuc.edu/Macaulay2/.
  • T. Harima, J. Migliore, U. Nagel, J. Watanabe, The weak and strong Lefschetz properties for Artinian K-algebras, J. Algebra 262 (2003) 99–126.
  • R. Hartshorne, Connectedness of the Hilbert scheme, Math. Inst. des Hautes Études Sci. 29 (1966) 261–304.
  • J. Li, F. Zanello, Monomial complete intersections, the weak Lefschetz property and plane partitions, Discrete Math. 310 (2010) 3558–3570.
  • J. Migliore, The geometry of the weak Lefschetz property and level sets of points, Canad. J. Math. 60 (2008) 391–411.
  • J. Migliore, U. Nagel, Lifting monomial ideals, Comm. Algebra 28 (12) (2000) 5679–5701.
  • J. Migliore, R. Miró-Roig, U. Nagel, Monomial ideals, almost complete intersections and the weak Lefschetz property, Trans. Amer. Math. Soc....
  • J. Migliore, F. Zanello, The Hilbert functions which force the weak Lefschetz property, J. Pure Appl. Algebra 210 (2007) 465–471.
  • R. Stanley, The number of faces of a simplicial convex polytope, Adv. Math. 35 (1980) 236–238.
  • R. Stanley, Enumerative Combinatorics. Vol.1,in: Cambridge Studies in Advanced Mathematics, vol.49, Cambridge University Press, Cambridge,1997.
  • F. Zanello, J. Zylinski, Forcing the strong Lefschetz and the maximal rank properties, J. Pure Appl. Algebra 213 (2009) 1026–1030.