Local Chern classes, multiplicities, and perfect complexes

Paul Roberts

Mémoires de la Société Mathématique de France (1989)

  • Volume: 38, page 145-161
  • ISSN: 0249-633X

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Roberts, Paul. "Local Chern classes, multiplicities, and perfect complexes." Mémoires de la Société Mathématique de France 38 (1989): 145-161. <http://eudml.org/doc/94879>.

@article{Roberts1989,
author = {Roberts, Paul},
journal = {Mémoires de la Société Mathématique de France},
keywords = {local Chern character of a perfect complex; multiplicity of homomorphism; mixed multiplicities},
language = {eng},
pages = {145-161},
publisher = {Société mathématique de France},
title = {Local Chern classes, multiplicities, and perfect complexes},
url = {http://eudml.org/doc/94879},
volume = {38},
year = {1989},
}

TY - JOUR
AU - Roberts, Paul
TI - Local Chern classes, multiplicities, and perfect complexes
JO - Mémoires de la Société Mathématique de France
PY - 1989
PB - Société mathématique de France
VL - 38
SP - 145
EP - 161
LA - eng
KW - local Chern character of a perfect complex; multiplicity of homomorphism; mixed multiplicities
UR - http://eudml.org/doc/94879
ER -

References

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  1. [1] P.B. Bhattacharya. — The Hilbert function of two ideals, Proc. Cambridge Philos. Soc., 53, (1957), 568-575. Zbl0080.02903MR19,727b
  2. [2] W. Fulton. — Intersection Theory, Springer-Verlag, Berlin and New York (1984). Zbl0541.14005MR85k:14004
  3. [3] D. Rees. — The general extension of a local ring and mixed multiplicities, Algebra, Algebraic Topology and their interactions (Proceedings Stockholm 1983), Springer Lecture Notes n° 1183, (1986) 339-360. Zbl0588.13021MR87m:13036
  4. [4] D. Rees and R. Sharp. — On a theorem of B. Teissier on multiplicities of ideals in local rings, J. London Math. Soc. (2) 18, (1978), 449-463. Zbl0408.13009MR80e:13009
  5. [5] P. Roberts. — The vanishing of intersection multiplicities of perfect complexes, Bull. Amer. Math. Soc. 13, (1985), 127-130. Zbl0585.13004MR87c:13030
  6. [6] P. Roberts. — Le théorème d'intersection, C.R. Acad. Sc. Paris Sér. I, N° 7, t. 304 (1987), 177-180. Zbl0609.13010MR89b:14008
  7. [7] P. Samuel. — La notion de multiplicité en algèbre et en géométrie algébrique, Jour. Math. Pures Appl., 30, (1951), 159-274. Zbl0044.02701MR13,980c
  8. [8] B. Teissier. — Cycles évanescents, sections planes, et condition de Whitney, Singularités à Cargèse 1972, Astérisque 7-8 (1973), 285-???. Zbl0295.14003
  9. [9] B. Teissier. — Sur une inégalité à la Minkowski pour les multiplicités (Appendix to a paper by D. Eisenbud and H.I. Levine), Ann. of Math., 106, (1977), 38-44. Zbl0443.13010MR57 #7651

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