A note on Zariski pairs

Ichiro Shimada

Compositio Mathematica (1996)

  • Volume: 104, Issue: 2, page 125-133
  • ISSN: 0010-437X

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Shimada, Ichiro. "A note on Zariski pairs." Compositio Mathematica 104.2 (1996): 125-133. <http://eudml.org/doc/90483>.

@article{Shimada1996,
author = {Shimada, Ichiro},
journal = {Compositio Mathematica},
keywords = {Zariski pair; fundamental group; plane curves},
language = {eng},
number = {2},
pages = {125-133},
publisher = {Kluwer Academic Publishers},
title = {A note on Zariski pairs},
url = {http://eudml.org/doc/90483},
volume = {104},
year = {1996},
}

TY - JOUR
AU - Shimada, Ichiro
TI - A note on Zariski pairs
JO - Compositio Mathematica
PY - 1996
PB - Kluwer Academic Publishers
VL - 104
IS - 2
SP - 125
EP - 133
LA - eng
KW - Zariski pair; fundamental group; plane curves
UR - http://eudml.org/doc/90483
ER -

References

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  1. 1 Artal Bartolo, E.: Sur les couples de Zariski, J. Alg. Geom. 3 (1994), 223-247. Zbl0823.14013MR1257321
  2. 2 Libgober, A.: Alexander invariants of plane algebraic curves, Proc. Symp. in Pure Math.40 (1983), 135-143. Zbl0536.14009MR713242
  3. 3 Libgober, A.: Fundamental groups of the complements to plane singular curves, Proc. Symp. in Pure Math.46 (1987), 29-45. Zbl0703.14007MR927972
  4. 4 Némethi, A.: On the fundamental group of the complement of certain singular plane curves, Math. Proc. Cambridge Philos. Soc.102 (1987), 453-457. Zbl0679.14004MR906619
  5. 5 Oka, M.: Some plane curves whose complements have non-Abelian fundamental groups, Math. Ann.218 (1975), 55-65. Zbl0335.14005MR396556
  6. 6 Oka, M.: Symmetric plane curves with nodes and cusps, J. Math. Soc. Japan44 (1992), 375-414. Zbl0767.14011MR1167373
  7. 7 Oka, M.: Two transformations of plane curves and their fundamental groups, to appear in J. Math. Sci. Univ. Tokyo. Zbl0935.14013MR1424436
  8. 8 Shimada, I.: Fundamental groups of open algebraic varieties, Topology34 (1995), 509-531. Zbl0840.14010MR1341806
  9. 9 Shimada, I.: Fundamental groups of complements to singular plane curves, to appear in Amer. J. Math. Zbl0956.14012MR1428061
  10. 10 Tokunaga, H.: A remark on Artal's paper, preprint. Zbl0894.14008
  11. 11 Turpin, W.S.: On the fundamental group of a certain class of plane curves, Amer. J. Math.59 (1937), 529-577. Zbl0017.18203MR1507261JFM63.0613.01
  12. 12 Zariski, O.: On the problem of existence of algebraic functions of two variables possessing a given branch curve, Amer. J. Math.51 (1929), 305-328. Zbl55.0806.01MR1506719JFM55.0806.01
  13. 13 Zariski, O.: A theorem on the Poincaré group of an algebraic hypersurface, Ann. Math.38 (1937), 131-141. Zbl0016.04102MR1503330JFM63.0621.03
  14. 14 Zariski, O.: The topological discriminant group of a Riemann surface of genus p, Amer. J. Math.59 (1937), 335-358. Zbl0016.32502MR1507244JFM63.0338.02

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