Alexander duality in intersection theory

Angelo Vistoli

Compositio Mathematica (1989)

  • Volume: 70, Issue: 3, page 199-225
  • ISSN: 0010-437X

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Vistoli, Angelo. "Alexander duality in intersection theory." Compositio Mathematica 70.3 (1989): 199-225. <http://eudml.org/doc/89961>.

@article{Vistoli1989,
author = {Vistoli, Angelo},
journal = {Compositio Mathematica},
keywords = {intersection theory; intersection products; Chow group; Alexander duality; Alexander schemes; geometrically unibranch},
language = {eng},
number = {3},
pages = {199-225},
publisher = {Kluwer Academic Publishers},
title = {Alexander duality in intersection theory},
url = {http://eudml.org/doc/89961},
volume = {70},
year = {1989},
}

TY - JOUR
AU - Vistoli, Angelo
TI - Alexander duality in intersection theory
JO - Compositio Mathematica
PY - 1989
PB - Kluwer Academic Publishers
VL - 70
IS - 3
SP - 199
EP - 225
LA - eng
KW - intersection theory; intersection products; Chow group; Alexander duality; Alexander schemes; geometrically unibranch
UR - http://eudml.org/doc/89961
ER -

References

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  1. Briney, R.E.: Intersection theory on quotients of algebraic varieties, Amer. J. of Math84 (1962) 217-238. Zbl0106.35401MR140515
  2. Deligne, P. and Mumford, D.: The irreducibility of the moduli space of curves of given genus, Publ. Math. I.H.E.S. 36 (1969) 75-110. Zbl0181.48803MR262240
  3. Fulton, W.: Intersection Theory, Springer-Verlag, New York (1984). Zbl0541.14005MR732620
  4. Gillet, H.: Intersection theory on algebraic stacks and Q-varieties, J. of Pure and Appl. Algebra34 (1984) 193-240. Zbl0607.14004MR772058
  5. Grothendieck, A. and Dieudonné, J.: Eléments de Géométrie Algébrique, Publ. Math. I.H.E.S. Referred to as EGA. 
  6. Kleiman, S. and Thorup, A.: Intersection theory and enumerative geometry, Proceedings of Symposia in Pure Mathematics 46, AMS Providence (1987) pp. 321-370. Zbl0664.14031MR927987
  7. Mumford, D.: (1) The topology of normal singularities and a criterion for simplicity, Publ. Math. I.H.E.S.9 (1961) 5-22. (2) Towards an enumerative geometry of the moduli space of curves, in Progress in Mathematics 36, volume dedicated to I.R. Shafarevich, Birkhäuser, Boston (1983) pp. 271-328. Zbl0554.14008MR153682
  8. Vistoli, A.: (1) Chow groups of quotient varieties, J. of Algebra107 (1987) 410-424. (2) Intersection theory on algebraic stacks and on their moduli spaces, to appear in Inv. Math. Zbl0627.14005MR885804

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