|
Algebraic & Geometric Topology 3
(2003) 593–622
|
| 1 |
M Amram, D
Garber, M Teicher, Fundamental
groups of tangent conic-line arrangements with singularities up
to order 6, Math. Z. 256 (2007) 837–870 MR2308894 |
| 2 |
M Amram, M
Teicher, Braid monodromy
of special curves, J. Knot Theory Ramifications 10
(2001) 171–212 MR1822489
Knots in Hellas '98, Vol. 2 (Delphi) |
| 3 |
E Artal-Bartolo,
Sur les couples de Zariski, J. Algebraic Geom. 3 (1994)
223–247 MR1257321 |
| 4 |
E Artal Bartolo,
Fundamental
group of a class of rational cuspidal curves,
Manuscripta Math. 93 (1997) 273–281 MR1457728 |
| 5 |
E Artal Bartolo, J
Carmona Ruber, Zariski pairs, fundamental groups and
Alexander polynomials, J. Math. Soc. Japan 50 (1998)
521–543 MR1626409 |
| 6 |
E Artal, J
Carmona, J I Cogolludo, H Tokunaga,
Sextics with
singular points in special position, J. Knot Theory
Ramifications 10 (2001) 547–578 MR1831676 |
| 7 |
E Artal Bartolo, H
Tokunaga, Zariski pairs of
index 19 and Mordell–Weil groups of K3 surfaces,
Proc. London Math. Soc. (3) 80 (2000) 127–144 MR1719168 |
| 8 |
O Chisini, Sulla
identita birazionale delle funzioni algebriche di due variabili
dotate di una medesima curva di diramazione, Ist. Lombardo
Sci. Lett. Cl. Sci. Mat. Nat. Rend. (3) 8(77) (1944)
339–356 MR0019351 |
| 9 |
A I Degtyarev,
Quintics in CP² with nonabelian fundamental
group, Algebra i Analiz 11 (1999) 130–151 MR1734350 |
| 10 |
H Flenner, M
Zaidenberg,
Rational cuspidal plane curves of type (d,d−3),
Math. Nachr. 210 (2000) 93–110 MR1738940 |
| 11 |
T Fujita, On the
topology of noncomplete algebraic surfaces, J. Fac. Sci.
Univ. Tokyo Sect. IA Math. 29 (1982) 503–566 MR687591 |
| 12 |
D Garber, M
Teicher, The fundamental group's structure of the
complement of some configurations of real line
arrangements, from: "Complex analysis and algebraic
geometry", de Gruyter (2000) 173–223 MR1760878 |
| 13 |
D Garber, M
Teicher, U Vishne, π1–classification
of real arrangements with up to eight lines, Topology
42 (2003) 265–289 MR1928653 |
| 14 |
V S Kulikov,
On
Chisini's conjecture, Izv. Ross. Akad. Nauk Ser. Mat.
63 (1999) 83–116 MR1748562 |
| 15 |
V S Kulikov, M
Taĭkher, Braid
monodromy factorizations and diffeomorphism types, Izv.
Ross. Akad. Nauk Ser. Mat. 64 (2000) 89–120 MR1770673 |
| 16 |
J Milnor, Morse
theory, Annals of Mathematics Studies 51, Princeton
University Press (1963) MR0163331
Based on lecture notes by M Spivak and R Wells |
| 17 |
B Moishezon, M
Teicher, Braid group technique in complex geometry II:
From arrangements of lines and conics to cuspidal curves,
from: "Algebraic geometry (Chicago, IL, 1989)", Lecture Notes
in Math. 1479, Springer (1991) 131–180 MR1181212 |
| 18 |
M Nagata, On
rational surfaces I: Irreducible curves of arithmetic genus 0
or 1, Mem. Coll. Sci. Univ. Kyoto Ser. A Math. 32 (1960)
351–370 MR0126443 |
| 19 |
M Namba, Geometry
of projective algebraic curves, Monographs and Textbooks in
Pure and Applied Mathematics 88, Marcel Dekker (1984) MR768929 |
| 20 |
M Oka, Two
transforms of plane curves and their fundamental groups, J.
Math. Sci. Univ. Tokyo 3 (1996) 399–443 MR1424436 |
| 21 |
M Oka, Flex curves and
their applications, Geom. Dedicata 75 (1999)
67–100 MR1680188 |
| 22 |
M Oka, A new
Alexander-equivalent Zariski pair, Acta Math. Vietnam. 27
(2002) 349–357 MR1979814
Dedicated to the memory of Le Van Thiem (Hanoi, 1998) |
| 23 |
R Randell, The fundamental group of
the complement of a union of complex hyperplanes,
Invent. Math. 69 (1982) 103–108 MR671654 |
| 24 |
J J Rotman, An
introduction to the theory of groups, Graduate Texts in
Mathematics 148, Springer (1995) MR1307623 |
| 25 |
J A Schafer,
Extensions of nilpotent groups, Houston J. Math. 21
(1995) 1–16 MR1331240 |
| 26 |
I Shimada, A
weighted version of Zariski's hyperplane section theorem and
fundamental groups of complements of plane curves arXiv:alg-geom/9505004 |
| 27 |
I Shimada, A note on
Zariski pairs, Compositio Math. 104 (1996)
125–133 MR1421396 |
| 28 |
I Shimada,
Fundamental groups of complements to singular plane
curves, Amer. J. Math. 119 (1997) 127–157
MR1428061 |
| 29 |
H Tokunaga,
A remark
on E. Artal–Bartolo's paper: “On Zariski
pairs”, Kodai Math. J. 19 (1996) 207–217
MR1397422 |
| 30 |
H Tokunaga,
Some examples
of Zariski pairs arising from certain elliptic K3
surfaces, Math. Z. 227 (1998) 465–477 MR1612673 |
| 31 |
H Tokunaga,
Some examples
of Zariski pairs arising from certain elliptic K3 surfaces II:
Degtyarev's conjecture, Math. Z. 230 (1999)
389–400 MR1676710 |
| 32 |
A M Uludağ,
Groupes fondamentaux d'une famille de courbes rationnelles
cuspidales, PhD thesis, Institut Fourier, Universite de
Grenoble I (2000) |
| 33 |
A M Uludağ,
More
Zariski pairs and finite fundamental groups of curve
complements, Manuscripta Math. 106 (2001) 271–277
MR1869220 |
| 34 |
E R V
Kampen, On
the Fundamental Group of an Algebraic Curve, Amer. J.
Math. 55 (1933) 255–267 MR1506962 |
| 35 |
M Zaĭdenberg,
Exotic algebraic structures on affine spaces, Algebra i
Analiz 11 (1999) 3–73 MR1734345 |
| 36 |
O Zariski, On the Problem of Existence
of Algebraic Functions of Two Variables Possessing a Given
Branch Curve, Amer. J. Math. 51 (1929) 305–328
MR1506719 |
| 37 |
O Zariski, The Topological
Discriminant Group of a Riemann Surface of Genus p,
Amer. J. Math. 59 (1937) 335–358 MR1507244 |
