Residue formulas for meromorphic functions on surfaces

Tomoaki Honda; Tatsuo Suwa

Annales de la Faculté des sciences de Toulouse : Mathématiques (1998)

  • Volume: 7, Issue: 3, page 443-463
  • ISSN: 0240-2963

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Honda, Tomoaki, and Suwa, Tatsuo. "Residue formulas for meromorphic functions on surfaces." Annales de la Faculté des sciences de Toulouse : Mathématiques 7.3 (1998): 443-463. <http://eudml.org/doc/73461>.

@article{Honda1998,
author = {Honda, Tomoaki, Suwa, Tatsuo},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {residues; singular foliation; meromorphic function; Milnor number},
language = {eng},
number = {3},
pages = {443-463},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Residue formulas for meromorphic functions on surfaces},
url = {http://eudml.org/doc/73461},
volume = {7},
year = {1998},
}

TY - JOUR
AU - Honda, Tomoaki
AU - Suwa, Tatsuo
TI - Residue formulas for meromorphic functions on surfaces
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1998
PB - UNIVERSITE PAUL SABATIER
VL - 7
IS - 3
SP - 443
EP - 463
LA - eng
KW - residues; singular foliation; meromorphic function; Milnor number
UR - http://eudml.org/doc/73461
ER -

References

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  1. [BB1] Baum ( P.) and Bott ( R.) .— On the zeroes of meromorphic vector fields, Essays on Topology and Related Topics, Mémoires dédiés à Georges de Rham, Springer-Verlag (1970), pp. 29-47. Zbl0193.52201MR261635
  2. [BB2] Baum ( P.) and Bott ( R.) .— Singularities of holomophic foliations, J. of Diff. Geom.7 (1972), pp. 279-342. Zbl0268.57011MR377923
  3. [Fr] Fourrier ( L.) .— Topologie d'un polynôme de deux variables complexes au voisinage de l'infini, Ann. Inst. Fourier46 (1996), pp. 645-687. Zbl0855.32018MR1411724
  4. [Fl] Fulton ( W.) .— Intersection Theory, Springer-Verlag, 1984. Zbl0541.14005MR732620
  5. [GH] Griffiths ( P.) and Harris ( J.) .— Principles of Algebraic Geometry, John Wiley & Sons, 1978. Zbl0408.14001
  6. [K] Kodaira ( K.) .— On compact complex analytic surfaces, I, Ann. of Math.71 (1960), pp. 111-152. Zbl0098.13004MR132556
  7. [LW] Lê ( D.T.) and Weber ( C.) .— A geometric approach to the Jacobian conjecture for n = 2, Kodai Math. J.17 (1994), pp. 374-381. Zbl1128.14301MR1296904
  8. [Sg] Sugimoto ( F.) .- Relation between the residues of holomorphic vector fields and the intersection numbers of divisors on compact complex surfaces, Master's thesis, Hokkaido University1994 (in Japanese). 
  9. [Sw] Suwa ( T.) .— Unfoldings of complex analytic foliations with singularities, Japan. J. Math.9 (1983), pp. 181-206. Zbl0591.32020MR722540

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