Desingularisation of the triple points and of the stationary points of a map

Felice Ronga

Compositio Mathematica (1984)

  • Volume: 53, Issue: 2, page 211-223
  • ISSN: 0010-437X

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Ronga, Felice. "Desingularisation of the triple points and of the stationary points of a map." Compositio Mathematica 53.2 (1984): 211-223. <http://eudml.org/doc/89684>.

@article{Ronga1984,
author = {Ronga, Felice},
journal = {Compositio Mathematica},
keywords = {smooth maps between manifolds; desingularization; set of triple points; stationary points; costationary points},
language = {eng},
number = {2},
pages = {211-223},
publisher = {Martinus Nijhoff Publishers},
title = {Desingularisation of the triple points and of the stationary points of a map},
url = {http://eudml.org/doc/89684},
volume = {53},
year = {1984},
}

TY - JOUR
AU - Ronga, Felice
TI - Desingularisation of the triple points and of the stationary points of a map
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 53
IS - 2
SP - 211
EP - 223
LA - eng
KW - smooth maps between manifolds; desingularization; set of triple points; stationary points; costationary points
UR - http://eudml.org/doc/89684
ER -

References

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  1. [1] J.M. Boardman: Singularities of differentiable maps. Publ. math. de l'I.H.E.S.33 (1967) 383-419. Zbl0165.56803MR231390
  2. [2] J. Hayden: Some Global Properties of Singularities I: Thom Polynomials. Preprint, Warwick (1980) 1-41. 
  3. [3] S.L. Kleiman: Multiple-point formulas for maps, in enumerative geometry and classical algebraic geometry. Progress in Mathematics24 (1982) 237-252. Zbl0503.14023MR685771
  4. [4] D. Laksov: Residual intersection and Todd's formula for the double locus of a morphism. Acta Math.140 (1978) 75-92. Zbl0388.14006MR466137
  5. [5] S. Lang: Introduction aux variétés différentiables. Paris (1967). Zbl0154.21402MR212841
  6. [6] J. Mather: Generic projections. ann. Math.98 (2) (1973) 226-245. Zbl0242.58001MR362393
  7. [7] R. Piene and F. Ronga: A geometric approach to the arithmetic genus of a projective manifold of dimension three. Topology20 (1981) 179-189. Zbl0463.14012MR605657
  8. [8] I.R. Porteous: Simple singularities of maps. In: Proc. of the Liverpool Singularities Symp. Springer Lecture Notes192 (1971) 286-307. Zbl0221.57016MR293646
  9. [9] J. Roberts: Some properties of double point schemes. Comp. Math.41 (1) (1980) 61-94. Zbl0462.14021MR578051
  10. [10] F. Ronga: le calcul des classes duales aux singularités de Boardman d'ordre deux. Commentarii Math. Helvetici47 (1) (1972) 15-35. Zbl0236.58003MR309129
  11. [11] F. Ronga: La classe duale aux points doubles d'une application, Comp. Math.27(2) (1973) 223-232. Zbl0271.57009MR391114

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