Leray residue for singular varieties

Andrzej Weber

Banach Center Publications (1998)

  • Volume: 44, Issue: 1, page 247-256
  • ISSN: 0137-6934

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Weber, Andrzej. "Leray residue for singular varieties." Banach Center Publications 44.1 (1998): 247-256. <http://eudml.org/doc/208888>.

@article{Weber1998,
author = {Weber, Andrzej},
journal = {Banach Center Publications},
keywords = {residue form; isolated singularities; line singularities; normal crossings},
language = {eng},
number = {1},
pages = {247-256},
title = {Leray residue for singular varieties},
url = {http://eudml.org/doc/208888},
volume = {44},
year = {1998},
}

TY - JOUR
AU - Weber, Andrzej
TI - Leray residue for singular varieties
JO - Banach Center Publications
PY - 1998
VL - 44
IS - 1
SP - 247
EP - 256
LA - eng
KW - residue form; isolated singularities; line singularities; normal crossings
UR - http://eudml.org/doc/208888
ER -

References

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  1. [AGV] V. I. Arnol'd, S. M. Guseĭn-Zade, A. N. Varchenko, Singularities of Differentiable Mappings II, Nauka, Moscow, 1984 (Russian). 
  2. [BBFGK] G. Barthel, J.-P. Brasselet, K.-H. Fieseler, O. Gabber, L. Kaup, Relèvement de cycles algébriques et homomorphismes associés en homologie d'intersection, Ann. of Math. (2) 141 (1995), 147-179. Zbl0827.14012
  3. [De] P. Deligne, Poids dans la cohomologie des variétés algébriques, in: Proceedings of the International Congress of Mathematicians (Vancouver, 1974), vol. 1, Canad. Math. Congress, Montreal, 1975, 79-85. 
  4. [GM] M. Goresky, R. MacPherson, Intersection homology II, Invent. Math. 72 (1983), 77-129. Zbl0529.55007
  5. [GS] P. Griffiths, W. Schmid, Recent developments in Hodge theory: a discussion of techniques and results, in: Discrete Subgroups of Lie Groups and Applications to Moduli (Internat. Colloq., Bombay, 1973), Oxford Univ. Press, Bombay, 1975, 31-127. 
  6. [Le] J. Leray, Le calcul différentiel et intégral sur une variété analytique complexe (Problème de Cauchy, III), Bull. Soc. Math. France 87 (1959), 81-180. Zbl0199.41203
  7. [Mi] J. Milnor, Singular Points of Complex Hypersurfaces, Princeton Univ. Press, Princeton, 1968. Zbl0184.48405
  8. [dR] G. de Rham, Sur la division de formes et de courants par une forme linèaire, Comment. Math. Helv. 28 (1954), 346-352. Zbl0056.31601
  9. [Sa] K. Saito, On a generalization of de-Rham lemma, Ann. Inst. Fourier (Grenoble) 26 (1976), 165-170. Zbl0338.13009
  10. [St] J. H. M. Steenbrink, The spectrum of hypersurface singularities, Astérisque 179-180 (1989), 163-184. 
  11. [We1] A. Weber, An isomorphism from intersection homology to L p -cohomology, Forum Math. 7 (1995), 489-512. Zbl0833.55008
  12. [We2] A. Weber, Leray residue form and intersection homology, preprint. 
  13. [We3] A. Weber, A morphism of intersection homology induced by an algebraic map, Proc. Amer. Math. Soc., to appear. 
  14. [Zi] B. Ziemian, Leray residue formula and asymptotics of solutions to constant coefficients PDEs, Topol. Methods Nonlinear Anal. 3 (1994), 257-293. Zbl0813.47060

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