Intersection Multiplicities in Commutative Algebra

Paul Roberts

Publications mathématiques et informatique de Rennes (1985)

  • Volume: 4, Issue: 4, page 25-39

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Roberts, Paul. "Intersection Multiplicities in Commutative Algebra." Publications mathématiques et informatique de Rennes 4.4 (1985): 25-39. <http://eudml.org/doc/273898>.

@article{Roberts1985,
author = {Roberts, Paul},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {Chow group; vanishing of intersection multiplicity; complete intersection; local Chern characters},
language = {eng},
number = {4},
pages = {25-39},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Intersection Multiplicities in Commutative Algebra},
url = {http://eudml.org/doc/273898},
volume = {4},
year = {1985},
}

TY - JOUR
AU - Roberts, Paul
TI - Intersection Multiplicities in Commutative Algebra
JO - Publications mathématiques et informatique de Rennes
PY - 1985
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 4
IS - 4
SP - 25
EP - 39
LA - eng
KW - Chow group; vanishing of intersection multiplicity; complete intersection; local Chern characters
UR - http://eudml.org/doc/273898
ER -

References

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  1. 1. P. Baum, W. Fulton, and R. MacPherson, Riemann-Roch for singular varieties, Publ. Math. IHES, 45, 101-145 (1975). Zbl0332.14003MR412190
  2. 2. S. Dutta, Generalized Intersection multiplicities of modules, Transactions of the Amer. Math. Soc., 276, no. 2 , 657-669 (1983). Zbl0531.13008MR688968
  3. 3. S. Dutta, M. Hochster, and J. E. McLaughlin, Modules of finite length and finite projective dimension with negative intersection multiplicities, Invent. Math.79, 253-291 (1985). Zbl0588.13020MR778127
  4. 4. H.-B. Foxby, The Macrae invariant, Commutative Algebra Durham 1981, London Math. Society Lecture Note Series, 72, 121-128 (1982). Zbl0544.13012MR693631
  5. 5. W. Fulton, Intersection Theory, Springer-Verlag (1984). Zbl0885.14002MR732620
  6. 6. H. Gillet and C. Soulé, K-théorie et nullité des multiplicités d'intersection, G. R. Acad. Sci.Paris, Série I, no. 3 , t. 300, 71-74 (1985). Zbl0587.13007MR777736
  7. 7. C. Peskine and L. Szpiro, Syzygies et multiplicités, C. R. Acad. Sci.Paris, Sér.-A-B, 278, 1421-1424 (1974). Zbl0281.13004MR349659
  8. 8. P. Roberts, On the vanishing of intersection multiplicities of perfect complexes, to appear in Bull. AMS (1985). Zbl0585.13004MR799793
  9. 9. J.-P. Serre , Algèbre Locale, Multiplicités, SpringerLecture Notes no. 11 . (1957/58). Zbl0142.28603
  10. 10. L. Szpiro, Sur la théorie des complexes parfaits, Durham 1981, London Math Society Lecture Notes Series72, 83-90 (1982). Zbl0554.13005MR693628

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