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Nori, Madhav V.

Zariski’s conjecture and related problems. (English) Zbl 0527.14016

Ann. Sci. Éc. Norm. Supér. (4) 16, 305-344 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0527.14016

Cited in 7 Reviews
Cited in 91 Documents

MSC:

14E20 Coverings in algebraic geometry
14H20 Singularities of curves, local rings
14J99 Surfaces and higher-dimensional varieties
14C20 Divisors, linear systems, invertible sheaves

Keywords:

Zariski conjecture; abelianness of fundamental group; complement of divisor; nodal curve on surface; deformation theory
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References:

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[3] A. DOUADY , Le problème des modules pour les sous-espaces analytiques compact d’un espace analytique donné (Annales de Institut Fourier, Vol. 16, 1966 , p. 1-96). Numdam | MR 34 #2940 | Zbl 0146.31103 · Zbl 0146.31103 · doi:10.5802/aif.226
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[6] YU MANIN , Lectures on the K-functor in Algebraic Geometry (Russian Math. Surveys, Vol. 24, 1969 ). MR 42 #265 | Zbl 0204.21302 · Zbl 0204.21302 · doi:10.1070/RM1969v024n05ABEH001357
[7] D. MUMFORD , Geometric Invariant Theory , Springer Verlag, Ergebniss der mathematik, band 34. Zbl 0147.39304 · Zbl 0147.39304
[8] M. V. NORI , On the Andreotti-Frankel Method (to appear).
[9] ZARISKI , On the Problem of Existence of Algebraic Functions of two Variables Possessing a Given Branch Curve (Amer. J. Math., Vol. 51, 1929 , p. 305-328). JFM 55.0806.01 · JFM 55.0806.01
[10] M. DEMAZURE and P. GABRIEL , Groupes Algebriques , Tome 1, North-Holland Publishers.
[11] J.-P. SERRE , Annals of Math., Vol. 61, 1955 , p. 197-278. MR 16,953c | Zbl 0067.16201 · Zbl 0067.16201 · doi:10.2307/1969915
[12] J.-P. SERRE , Ann. Inst. Fourier, Vol. 6, 1956 , p. 1-42. Numdam | MR 18,511a | Zbl 0075.30401 · Zbl 0075.30401 · doi:10.5802/aif.59
[13] Revetements Etales et Groupe Fondamental , Springer-Verlag (Lecture Notes, N0. 224, 1971 ). Zbl 0234.14002 · Zbl 0234.14002
[14] D. MUMFORD , Abelian Varieties , Oxford Univ. Press, Bombay. · Zbl 0199.24601
[15] M. V. NORI , Varieties with no Smooth Embeddings , in C. P. RAMANUJAM, A Tribute , Oxford Univ. Press, Bombay. · Zbl 0426.14006
[16] A. GROTHENDIECK , I.H.E.S., Publications, Chapter IV, 1964 .
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