On homological index

Bahman Khanedani

Annales de la Faculté des sciences de Toulouse : Mathématiques (2000)

  • Volume: 9, Issue: 3, page 433-450
  • ISSN: 0240-2963

How to cite

top

Khanedani, Bahman. "On homological index." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.3 (2000): 433-450. <http://eudml.org/doc/73520>.

@article{Khanedani2000,
author = {Khanedani, Bahman},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {index of holomorphic vector fields},
language = {eng},
number = {3},
pages = {433-450},
publisher = {UNIVERSITE PAUL SABATIER},
title = {On homological index},
url = {http://eudml.org/doc/73520},
volume = {9},
year = {2000},
}

TY - JOUR
AU - Khanedani, Bahman
TI - On homological index
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2000
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 3
SP - 433
EP - 450
LA - eng
KW - index of holomorphic vector fields
UR - http://eudml.org/doc/73520
ER -

References

top
  1. [AH] Atiyah ( M.F.) and Hirzebruch ( F.). — Analytic cycles on complex manifolds, Topology1 (1961), 25-45. Zbl0108.36401MR145560
  2. [BB] Baum ( P.) and Bott ( R.). — Singularities of holomorphic foliations, Differential Geometry7 (1972), 279-342. Zbl0268.57011MR377923
  3. [BG] Bonatti ( CH.) and Gomez-Mont ( X.). — The index of a holomorphic vector field on a singular variety I, Asterisque, No. 222 (1994), 9-35. Zbl0810.32017MR1285384
  4. [CE] Cartan ( H.) and Eilenberg ( S.). — Homological Algebra, Princeton University Press, Princeton, 1965. Zbl0075.24305
  5. [D1] Dimca ( A.). — Singularities and Topology of Hypersurfaces, Springer-Verlag, 1992. Zbl0753.57001MR1194180
  6. [D2] Dimca ( A.). — Topics on Real and Complex Singularities, Vieweg Advanced Lectures in Mathematics, Vieweg, Braunschweig/ Wiesbaden1987. Zbl0628.14001MR1013785
  7. [F1] Fischer ( G.). — Complex Analytic Geometry, Lecture Notes in Math.. 538, Springer-Verlag1976. Zbl0343.32002MR430286
  8. [F2] Fischer ( G.). - Lineare faserrdume und koharente modulgarben uber komptexen raumen, Arch. Math.18 (1967) 609-617. Zbl0177.34402MR220972
  9. [G] Gomez-Mont ( X.). — An algebraic formula for the index of a vector field on a hypersurface with an isolated singularity, J. Algebraic Geom.7 (1998), No. 4, 731-752. Zbl0956.32029MR1642757
  10. [GH] Griffiths ( P.) and Harris ( J.). — Principles of Algebraic Geometry, John Wiley & Sons, New York, Chichester, Brisbane, Toronto1978. Zbl0408.14001
  11. [GK] Gomez-Mont ( X.) and Kempf ( G.) A law of conservation of number for local Euler characteristics, preprint. Zbl1051.32010
  12. [GSV] Gomez-Mont ( X.), Seade ( J.A.) and Verjovsky ( A.). — The index of a holomorphic flow with an isolated singularity, Math. Annalen291 (1991), 737-751 Zbl0725.32012MR1135541
  13. [H] Hironaka ( H.). — Resolution of singularities of an algebraic variety over a field of characteristic zero: I, Ann. of Math. Vol. 79, (1964), No. 1, 109-203. Zbl0122.38603MR199184
  14. [L] Lojasiewics ( S.). — Triangulations of semi-analytic sets, Annali Scu. Pisa, Sc. fis. Mat. ser. 3, V. 18, fasc. 4 (1964), 449-474. Zbl0128.17101MR173265
  15. [LS] Lehmann ( D.) and Suwa ( T.). — Residues of holomorphic vector fields relative to singular invariant subvarieties, J. Differential Geom.42(1995), 165-192. Zbl0844.32007MR1350698
  16. [LSS] Lehmann ( D.), Scares ( M.) and Suwa ( T.). — On the index of a holomorphic vector field tangent to a singular variety, Bol. Soc. Bras. Mat.26 (1995), 183-199. Zbl0852.32015MR1364267
  17. [M] Milnor ( J.). — Singularities of Complex Hypersurfaces, Annals of Mathematical Studies61 (1968). Zbl0184.48405MR239612
  18. [O] Oort ( F.). - Algebraic group schemes in characteristic zero are reduced, Invent. Math.2 (1966/67) 79-80. Zbl0173.49002MR206005
  19. [P] Prill ( D.). — Uber lineare faserrdume und schwach negative geraden-bundle, Math. Z.105 (1968), 313-326. Zbl0164.09404MR229266
  20. [SS] Seade ( J.) and Suwa ( T.). - An adjunction formula for local complete intersections, International J. Math.9, (1998), No. 6, 759-768. Zbl0918.32019MR1644307

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.