On the degree function coefficients of complete ideals in two-dimensional regular local rings

• Autores: Raymond Debremaeker
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 2, 2013, págs. 238-246
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2012.06.008
• Texto completo no disponible (Saber más ...)
• Referencias bibliográficas
  • S.S. Abhyankar, On the valuations centered in a local domain, Amer. J. Math. 78 (1956) 321–348.
  • R. Debremaeker, V. Van Lierde, The effect of quadratic transformations on degree functions, Beiträge Algebra Geom. 47 (2006) 121–135.
  • S. Goto, K. Nishida, The Cohen–Macaulay and Gorenstein Rees algebras associated to filtrations, Memoirs Amer. Math. Soc. 110 (526) (1994).
  • W. Heinzer, M.-K. Kim, Integrally closed ideals in regular local rings of dimension two, J. Pure Appl. Algebra 216 (2012) 1–11.
  • C. Huneke, Complete ideals in two-dimensional regular local rings, in: Commutative Algebra, Berkeley, CA, 1987, in: Math. Sci. Res. Inst....
  • C. Huneke, J. Sally, Birational extensions in dimension two and integrally closed ideals, J. Algebra 115 (1988) 481–500.
  • D. Katz, Note on multiplicity, Proc. Amer. Math. Soc. 104 (1988) 1021–1026.
  • D. Katz, J. Validashti, Multiplicities and Rees valuations, Collect. Math. 61 (2010) 1–24.
  • K. Kiyek, J.L. Vicente, Resolution of Curve and Surface Singularities in Characteristic Zero, Kluwer, Dordrecht, 2004.
  • J. Lipman, Rational singularities with applications to algebraic surfaces and unique factorization, Inst. Hautes Études Sci. Publ. Math. 36...
  • J. Lipman, On complete ideals in regular local rings, in: Algebraic Geometry and Commutative Algebra (in honor of M. Nagata), Vol. I, Academic...
  • J.Lipman, Proximity inequalities for complete ideals in two-dimensional regular local rings, in: Contemp. Math.,vol.159, Amer.Math.Soc, Providence,...
  • M. Nagata, Local Rings, Krieger, New York, 1975.
  • S. Noh, Sequence of valuation ideals of prime divisors of the second kind in 2-dimensional regular local rings, J. Algebra 158 (1993) 31–49.
  • D. Rees, Degree functions in local rings, Proc. Cambridge Philos. Soc. 57 (1961) 1–7.
  • D. Rees, Lectures on the asymptotic theory of ideals, in: London Math. Soc. Lecture Note Series, vol. 113, Cambridge Univ. Press, Cambridge,...
  • D. Rees, R.Y. Sharp, On a theorem of B. Teissier on multiplicities of ideals in local rings, J. Lond. Math. Soc. 118 (1978) 449–463.
  • J.D. Sally, One-fibered ideals, in: Commutative Algebra, Berkeley, CA, 1987, in: Math. Sci. Res. Inst. Publ., vol. 15, Springer-Verlag, New...
  • I. Swanson, C. Huneke, Integral closure of ideals, rings, and modules, in: London Math. Soc. Lecture Note Ser., vol. 336, Cambridge Univ....
  • O. Zariski, P. Samuel, Commutative Algebra, vol. II, Van Nostrand, Princeton, NJ, 1960.