Some remarks on plane curves over fields of finite characteristic
Rita Pardini (1986)
Compositio Mathematica
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Rita Pardini (1986)
Compositio Mathematica
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V. H. Jorge Pérez, M. E. Hernandes (2009)
Czechoslovak Mathematical Journal
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In this paper we present some formulae for topological invariants of projective complete intersection curves with isolated singularities in terms of the Milnor number, the Euler characteristic and the topological genus. We also present some conditions, involving the Milnor number and the degree of the curve, for the irreducibility of complete intersection curves.
Eugenii Shustin (1994)
Bulletin de la Société Mathématique de France
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Fedor Bogomolov, Viktor Kulikov (2013)
Open Mathematics
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The article contains a new proof that the Hilbert scheme of irreducible surfaces of degree m in ℙm+1 is irreducible except m = 4. In the case m = 4 the Hilbert scheme consists of two irreducible components explicitly described in the article. The main idea of our approach is to use the proof of Chisini conjecture [Kulikov Vik.S., On Chisini’s conjecture II, Izv. Math., 2008, 72(5), 901–913 (in Russian)] for coverings of projective plane branched in a special class of rational curves. ...
Mark L. Green (1975)
Compositio Mathematica
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Ballico, E. (2000)
Mathematica Pannonica
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Garber, David (2003)
Algebraic & Geometric Topology
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Antonio F. Costa (1989)
Publicacions Matemàtiques
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Let f be a germ of plane curve, we define the δ-degree of sufficiency of f to be the smallest integer r such that for anuy germ g such that j f = j g then there is a set of disjoint annuli in S whose boundaries consist of a component of the link of f and a component of the link of g. We establish a formula for the δ-degree of sufficiency in terms of link invariants of plane curves singularities and, as a consequence of this formula, we obtain that the δ-degree of sufficiency is equal...