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Discriminant complements and kernels of monodromy representations
James A. Carlson and Domingo Toledo
Source: Duke Math. J. Volume 97, Number 3
(1999), 621-648.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077228805
Mathematical Reviews number (MathSciNet): MR1682991
Zentralblatt MATH identifier: 0978.14007
Digital Object Identifier: doi:10.1215/S0012-7094-99-09723-5
References
[1] Daniel Allcock, James A. Carlson, and Domingo Toledo, A complex hyperbolic structure for moduli of cubic surfaces, C. R. Acad. Sci. Paris Sér. I Math. 326 (1998), no. 1, 49–54.
Mathematical Reviews (MathSciNet): MR2001h:14042
Zentralblatt MATH: 0959.32035
Digital Object Identifier: doi:10.1016/S0764-4442(97)82711-5
[2] V. I. Arnold, S. M. Guseĭ n-Zade, and A. N. Varchenko, Singularities of differentiable maps. Vol. II, Monographs in Mathematics, vol. 83, Birkhäuser Boston Inc., Boston, MA, 1988.
Mathematical Reviews (MathSciNet): MR89g:58024
Zentralblatt MATH: 0659.58002
[3] Alan F. Beardon, The geometry of discrete groups, Graduate Texts in Mathematics, vol. 91, Springer-Verlag, New York, 1983.
Mathematical Reviews (MathSciNet): MR85d:22026
Zentralblatt MATH: 0633.30044
[4] Arnaud Beauville, Le groupe de monodromie des familles universelles d'hypersurfaces et d'intersections complètes, Complex analysis and algebraic geometry (Göttingen, 1985), Lecture Notes in Math., vol. 1194, Springer, Berlin, 1986, (Göttingen, 1985), pp. 8–18.
Mathematical Reviews (MathSciNet): MR87m:14035
Zentralblatt MATH: 0603.14011
Digital Object Identifier: doi:10.1007/BFb0076991
[5] Armand Borel, Density and maximality of arithmetic subgroups, J. Reine Angew. Math. 224 (1966), 78–89.
Mathematical Reviews (MathSciNet): MR34:5824
Zentralblatt MATH: 0158.03105
Digital Object Identifier: doi:10.1515/crll.1966.224.78
[6] Armand Borel and Harish-Chandra, Arithmetic subgroups of algebraic groups, Ann. of Math. (2) 75 (1962), 485–535.
Mathematical Reviews (MathSciNet): MR26:5081
Zentralblatt MATH: 0107.14804
Digital Object Identifier: doi:10.2307/1970210
JSTOR: links.jstor.org
[7] James A. Carlson, Hypersurface variations are maximal. II, Trans. Amer. Math. Soc. 323 (1991), no. 1, 177–196.
Mathematical Reviews (MathSciNet): MR91c:14013
Zentralblatt MATH: 0757.14005
Digital Object Identifier: doi:10.2307/2001622
JSTOR: links.jstor.org
[8] James A. Carlson and Phillip A. Griffiths, Infinitesimal variations of Hodge structure and the global Torelli problem, Journées de Géometrie Algébrique d'Angers, Juillet 1979/Algebraic Geometry, Angers, 1979, Sijthoff & Noordhoff, Alphen aan den Rijn, 1980, pp. 51–76.
Mathematical Reviews (MathSciNet): MR82h:14006
Zentralblatt MATH: 0479.14007
[9] Herbert Clemens, János Kollár, and Shigefumi Mori, Higher-dimensional complex geometry, Astérisque (1988), no. 166, 144 pp. (1989), France, Montrouge.
Mathematical Reviews (MathSciNet): MR90j:14046
Zentralblatt MATH: 0689.14016
[10] Pierre Deligne, Théorie de Hodge. II, Inst. Hautes Études Sci. Publ. Math. (1971), no. 40, 5–57.
Mathematical Reviews (MathSciNet): MR58:16653a
Zentralblatt MATH: 0219.14007
Digital Object Identifier: doi:10.1007/BF02684692
[11] Pierre Deligne, La conjecture de Weil. I, Inst. Hautes Études Sci. Publ. Math. (1974), no. 43, 273–307.
Mathematical Reviews (MathSciNet): MR49:5013
Zentralblatt MATH: 0287.14001
Digital Object Identifier: doi:10.1007/BF02684373
[12] Pierre Deligne, La conjecture de Weil. II, Inst. Hautes Études Sci. Publ. Math. (1980), no. 52, 137–252.
Mathematical Reviews (MathSciNet): MR83c:14017
Zentralblatt MATH: 0456.14014
Digital Object Identifier: doi:10.1007/BF02684780
[13] P. Deligne, Un théorème de finitude pour la monodromie, Discrete groups in geometry and analysis (New Haven, Conn., 1984), Progr. Math., vol. 67, Birkhäuser Boston, Boston, MA, 1987, pp. 1–19.
Mathematical Reviews (MathSciNet): MR88h:14013
Zentralblatt MATH: 0656.14010
[14] Gerd Dethloff, Stepan Orevkov, and Mikhail Zaidenberg, Plane curves with a big fundamental group of the complement, Voronezh Winter Mathematical Schools eds. P. Kuchment and V. Lin, Amer. Math. Soc. Transl. Ser. 2, vol. 184, Amer. Math. Soc., Providence, RI, 1998, Dedicated to Selimkrein, pp. 63–84.
Mathematical Reviews (MathSciNet): MR2001d:14030
Zentralblatt MATH: 0918.14012
[15] Igor Dolgachev, Weighted projective varieties, Group actions and vector fields (Vancouver, B.C., 1981), Lecture Notes in Math., vol. 956, Springer, Berlin, 1982, pp. 34–71.
Mathematical Reviews (MathSciNet): MR85g:14060
Zentralblatt MATH: 0516.14014
Digital Object Identifier: doi:10.1007/BFb0101508
[16] Igor Dolgachev and Anatoly Libgober, On the fundamental group of the complement to a discriminant variety, Algebraic geometry (Chicago, Ill., 1980), Lecture Notes in Math., vol. 862, Springer, Berlin, 1981, pp. 1–25.
Mathematical Reviews (MathSciNet): MR83c:14006
Zentralblatt MATH: 0475.14011
[17] Wolfgang Ebeling, An arithmetic characterisation of the symmetric monodromy groups of singularities, Invent. Math. 77 (1984), no. 1, 85–99.
Mathematical Reviews (MathSciNet): MR87b:14001
Zentralblatt MATH: 0527.14031
Digital Object Identifier: doi:10.1007/BF01389136
[18] A. B. Givental, Twisted Picard-Lefschetz formulas, Funktsional. Anal. i Prilozhen. 22 (1988), no. 1, 12–22, 96.
Mathematical Reviews (MathSciNet): MR89f:32037
Zentralblatt MATH: 0665.32011
[19] Mark L. Green, Koszul cohomology and the geometry of projective varieties, J. Differential Geom. 19 (1984), no. 1, 125–171.
Mathematical Reviews (MathSciNet): MR85e:14022
Zentralblatt MATH: 0559.14008
Project Euclid: euclid.jdg/1214438426
[20] Mark L. Green, The period map for hypersurface sections of high degree of an arbitrary variety, Compositio Math. 55 (1985), no. 2, 135–156.
Mathematical Reviews (MathSciNet): MR87b:32038
Zentralblatt MATH: 0588.14004
[21] P. A. Griffiths, private communication, 1969.
[22] Phillip A. Griffiths, On the periods of certain rational integrals. I, II, Ann. of Math. (2) 90 (1969), 460-495; ibid. (2) 90 (1969), 496–541.
Mathematical Reviews (MathSciNet): MR41:5357
Zentralblatt MATH: 0215.08103
Digital Object Identifier: doi:10.2307/1970747
JSTOR: links.jstor.org
[23] Phillip A. Griffiths, Periods of integrals on algebraic manifolds. III. Some global differential-geometric properties of the period mapping, Inst. Hautes Études Sci. Publ. Math. (1970), no. 38, 125–180.
Mathematical Reviews (MathSciNet): MR44:224
Zentralblatt MATH: 0212.53503
Digital Object Identifier: doi:10.1007/BF02684654
[24] Phillip Griffiths and Wilfried Schmid, Locally homogeneous complex manifolds, Acta Math. 123 (1969), 253–302.
Mathematical Reviews (MathSciNet): MR41:4587
Zentralblatt MATH: 0209.25701
Digital Object Identifier: doi:10.1007/BF02392390
[25]1 W. A. M. Janssen, Skew-symmetric vanishing lattices and their monodromy groups, Math. Ann. 266 (1983), no. 1, 115–133.
Mathematical Reviews (MathSciNet): MR85f:11043
Zentralblatt MATH: 0537.14005
Digital Object Identifier: doi:10.1007/BF01458708
[25]2 W. A. M. Janssen, Skew-symmetric vanishing lattices and their monodromy groups. II, Math. Ann. 272 (1985), no. 1, 17–22.
Mathematical Reviews (MathSciNet): MR87h:11060
Zentralblatt MATH: 0592.10015
Digital Object Identifier: doi:10.1007/BF01455924
[26] Anatoly Libgober, On the fundamental group of the space of cubic surfaces, Math. Z. 162 (1978), no. 1, 63–67.
Mathematical Reviews (MathSciNet): MR80a:14016
Zentralblatt MATH: 0368.14010
Digital Object Identifier: doi:10.1007/BF01437823
[27] Wilhelm Magnus and Ada Peluso, On a theorem of V. I. Arnol'd, Comm. Pure Appl. Math. 22 (1969), 683–692.
Mathematical Reviews (MathSciNet): MR41:8658
Zentralblatt MATH: 0184.49001
Digital Object Identifier: doi:10.1002/cpa.3160220508
[28] G. A. Margulis, Discrete groups of motions of manifolds of nonpositive curvature, Amer. Math. Soc. Transl. Ser. 2 109 (1977), 33–45, Amer. Math. Soc., Providence.
Zentralblatt MATH: 0367.57012
Mathematical Reviews (MathSciNet): MR492072
[29] John Milnor, Singular points of complex hypersurfaces, Annals of Mathematics Studies, No. 61, Princeton University Press, Princeton, N.J., 1968.
Mathematical Reviews (MathSciNet): MR39:969
Zentralblatt MATH: 0184.48405
[30] G. D. Mostow, On a remarkable class of polyhedra in complex hyperbolic space, Pacific J. Math. 86 (1980), no. 1, 171–276.
Mathematical Reviews (MathSciNet): MR82a:22011
Zentralblatt MATH: 0456.22012
Project Euclid: euclid.pjm/1102780622
[31] Frédéric Pham, Formules de Picard-Lefschetz généralisées et ramification des intégrales, Bull. Soc. Math. France 93 (1965), 333–367, reprinted in Homology and Feynman Integrals, ed. R. Hwa and V. Teplitz, W. A. Benjamin, New York, 1966, 290–324.
Mathematical Reviews (MathSciNet): MR33:4064
Zentralblatt MATH: 0192.29701
[32] M. Sebastiani and R. Thom, Un résultat sur la monodromie, Invent. Math. 13 (1971), 90–96.
Mathematical Reviews (MathSciNet): MR45:2201
Zentralblatt MATH: 0233.32025
Digital Object Identifier: doi:10.1007/BF01390095
[33] P. Seidel, Floer homology and the symplectic isotopy problem, thesis, Oxford University, 1997.
[34] Carlos T. Simpson, Higgs bundles and local systems, Inst. Hautes Études Sci. Publ. Math. (1992), no. 75, 5–95.
Mathematical Reviews (MathSciNet): MR94d:32027
Zentralblatt MATH: 0814.32003
Digital Object Identifier: doi:10.1007/BF02699491
[35] J. Tits, Free subgroups in linear groups, J. Algebra 20 (1972), 250–270.
Mathematical Reviews (MathSciNet): MR44:4105
Zentralblatt MATH: 0236.20032
Digital Object Identifier: doi:10.1016/0021-8693(72)90058-0
[36] Loring Tu, Macaulay's theorem and local Torelli for weighted hypersurfaces, Compositio Math. 60 (1986), no. 1, 33–44.
Mathematical Reviews (MathSciNet): MR87m:14040
Zentralblatt MATH: 0609.14008
[37] 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.
Zentralblatt MATH: 55.0806.01
Mathematical Reviews (MathSciNet): MR1506719
Digital Object Identifier: doi:10.2307/2370712
JSTOR: links.jstor.org
[38] Robert J. Zimmer, Ergodic theory and semisimple groups, Monographs in Mathematics, vol. 81, Birkhäuser Verlag, Basel, 1984.
Mathematical Reviews (MathSciNet): MR86j:22014
Zentralblatt MATH: 0571.58015
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