Arrangements of lines and monodromy of plane curves

Mario Salvetti

Compositio Mathematica (1988)

  • Volume: 68, Issue: 1, page 103-122
  • ISSN: 0010-437X

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Salvetti, Mario. "Arrangements of lines and monodromy of plane curves." Compositio Mathematica 68.1 (1988): 103-122. <http://eudml.org/doc/89924>.

@article{Salvetti1988,
author = {Salvetti, Mario},
journal = {Compositio Mathematica},
keywords = {arrangements of hyperplanes; braid monodromy; curves with ordinary singularities; arrangement of real lines; fundamental group of the complement},
language = {eng},
number = {1},
pages = {103-122},
publisher = {Kluwer Academic Publishers},
title = {Arrangements of lines and monodromy of plane curves},
url = {http://eudml.org/doc/89924},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Salvetti, Mario
TI - Arrangements of lines and monodromy of plane curves
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 68
IS - 1
SP - 103
EP - 122
LA - eng
KW - arrangements of hyperplanes; braid monodromy; curves with ordinary singularities; arrangement of real lines; fundamental group of the complement
UR - http://eudml.org/doc/89924
ER -

References

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  1. 1 Arnol'd, V.I.:Braids of algebraic functions and cohomologies of swallotails, Uspehi Mat. Nauk.23, no. 4 (1968) (142), 247-248. Zbl0177.24203MR231828
  2. 2 Brieskorn, E.: Sur les groupes de tresses, Sem. Bourbaki, (1971/72), Lec. Notes Math.317 (1900) 21-44. MR422674
  3. 3 Cartier, P.: Arrangements d'hyperplans: un chapitre de géométrie combinatoire, Sem. Bourbaki (1980/81). Lect. Notes Math.901 (1977) 1-22. Zbl0483.51011MR463365
  4. 4 Deligne, P.: Les immeubles des groupes de tresses généralizes, Inv. Mah.17 (1972) 273-302. Zbl0238.20034MR422673
  5. 5 Deligne, P.: Le groupe fondamental du complement d'une courbe plane n'ayant que des points doubles ordinaires est abelien, Sem. Bourbaki, No. 543, Nov 1979. Zbl0478.14008
  6. 6 Deligne, P. and Mostow, G.D.: Monodromy of hypergeometric functions and non-lattice integral monodromy, Inst. Hautes Etudes Sci. Publ. Math.63 (1986). Zbl0615.22008MR849651
  7. 7 Gelfand, I.M.: General theory of hypergeometric functions, Doklady, vol. 33 (1986) Number 3. MR841131
  8. 8 Libgober, A.: On the homotopy type of the complement to plane algebraic curves, J. Fur Die Reine Und Ang. Math., Band 367 (1900) 103-114. Zbl0576.14019MR839126
  9. 9 Moishezon, B.: Stable branch curves and braid monodromies, Lec. Notes in Math.862 (1900) 107-193. Zbl0476.14005MR644819
  10. 10 Moishezon, B.: Simply connected algebraic surfaces of general type, Inv. Math.89 (1987) 601-643. Zbl0627.14019MR903386
  11. 11 Nori, M.: Zariski conjecture and related problems, Ann. Sci. Ec. Norm. Sup.16 (1983) 305-344. Zbl0527.14016MR732347
  12. 12 Salvetti, M.: Topology of the complement of real hyperplanes in CN, Inv. Math.88 (1987) 603-618. Zbl0594.57009MR884802

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