The multiplicity of the Lyashko-Looijenga mapping on the discriminant strata of even and odd polynomials

Clare Baines

Banach Center Publications (1999)

  • Volume: 50, Issue: 1, page 19-40
  • ISSN: 0137-6934

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Baines, Clare. "The multiplicity of the Lyashko-Looijenga mapping on the discriminant strata of even and odd polynomials." Banach Center Publications 50.1 (1999): 19-40. <http://eudml.org/doc/209008>.

@article{Baines1999,
author = {Baines, Clare},
journal = {Banach Center Publications},
keywords = {topologically equivalent; complex polynomial},
language = {eng},
number = {1},
pages = {19-40},
title = {The multiplicity of the Lyashko-Looijenga mapping on the discriminant strata of even and odd polynomials},
url = {http://eudml.org/doc/209008},
volume = {50},
year = {1999},
}

TY - JOUR
AU - Baines, Clare
TI - The multiplicity of the Lyashko-Looijenga mapping on the discriminant strata of even and odd polynomials
JO - Banach Center Publications
PY - 1999
VL - 50
IS - 1
SP - 19
EP - 40
LA - eng
KW - topologically equivalent; complex polynomial
UR - http://eudml.org/doc/209008
ER -

References

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  1. [1] V. I. Arnol'd, S. M. Guseĭn-Zade, A. N. Varchenko, Singularities of Differentiable Maps II, Monogr. Math. 83, Birkhäuser, Boston, 1988. 
  2. [2] M. El Marraki, N. Hanusse, J. Zipperer and A. Zvonkin, Cacti, braids and complex polynomials, Sém. Lothar. Combin. 37 (1997), Art. B37b, http://cartan.u-strasbg.fr/~slc 
  3. [3] V. V. Goryunov, S. K. Lando, On enumeration of meromorphic functions on the line, Preprint, 1997. Zbl0972.32021
  4. [4] I. P. Goulden, D. M. Jackson, Transitive factorisations into transpositions and holomorphic mappings on the sphere, Proc. Amer. Math. Soc. 125 (1997), 51-60. Zbl0861.05006
  5. [5] I. P. Goulden, D. M. Jackson, The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group, European J. Combin. 13 (1992), 357-365. Zbl0804.05023
  6. [6] A. Hurwitz, Über Riemann'sche Fläche mit gegebenen Verzweigungspunkten, Math. Ann. 39 (1891), 1-66. 
  7. [7] A. G. Khovanskiĭ, S. Zdravkovska, Branched covers of S 2 and braid groups, J. Knot Theory Ramifications 5 (1996), 55-75. Zbl0865.57001
  8. [8] S. K. Lando, D. Zvonkine, On multiplicities of the Lyashko-Looijenga mapping on the discriminant strata, Preprint, 1997. Zbl0953.32007
  9. [9] E. Looijenga, The compliment of the bifurcation variety of a simple singularity, Invent. Math. 23 (1974), 105-116. Zbl0278.32008
  10. [10] V. Strehl, Reconstruction of a proof by A. Hurwitz, Preprint, 1996. 

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