Kulikov, Vik. S. Generalized Chisini’s conjecture. (English. Russian original) Zbl 1078.14017 Proc. Steklov Inst. Math. 241, 110-119 (2003); translation from Tr. Mat. Inst. Im. V. A. Steklova 241, 122-131 (2003). O. Chisini’s conjecture [Ist. Lombardo Sci. Lett., Rend., Cl. Sci. Mat. Natur., III. Ser. 8(77), 339–356 (1944; Zbl 0061.35305)] claims that a generic covering of \(\mathbb{P}^2\) of degree \(\geq 5\) is determined by its branch curve. In the paper under review the author considers a generalization of this to the case of normal surfaces. This is checked in two cases: when the maximum of degrees of two generic coverings is \(\geq 2\) or when it is \(\leq 4\).For the entire collection see [Zbl 1059.11002]. Reviewer: Viorel Vâjâitu (Bucureşti) Cited in 2 Documents MSC: 14E20 Coverings in algebraic geometry 14E22 Ramification problems in algebraic geometry 14J17 Singularities of surfaces or higher-dimensional varieties 14H30 Coverings of curves, fundamental group Keywords:cusp singularity; ramified covering; monodromy; generic covering Citations:Zbl 0061.35305 PDFBibTeX XMLCite \textit{Vik. S. Kulikov}, in: Number theory, algebra, and algebraic geometry. Collected papers dedicated to the 80th birthday of Academician Igor' Rostislavovich Shafarevich. Transl. from the Russian. Moskva: Maik Nauka/Interperiodika. 110--119 (2003; Zbl 1078.14017); translation from Tr. Mat. Inst. Im. V. A. Steklova 241, 122--131 (2003)