A singular plane curve
نویسندگان
چکیده
منابع مشابه
Maximal smoothings of real plane curve singular points
To V.A.Rokhlin who guided certain of us in the marvelous world behind reals. Abstract The local Harnack inequality bounds from above the number of ovals which can appear in a small perturbation of a singular point. As is known, there are real singular points for which this bound is not sharp. We show that Harnack inequality is sharp in any complex topologically equisingular class: every real si...
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Let K be the field of rational functions in 2 variables over an algebraically closed field k of characteristic 0. Let D be a finite dimensional K-central division algebra whose ramification divisor on the projective plane over k is a singular cubic curve. It is shown that D is cyclic and that the exponent of D is equal to the degree of D. Let k be an algebraically closed field of characteristic...
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ly isomorphic to (C×)r−1 × (C), and hence also to (S1)r−1 × (R), where r = |J | is the number of branches and k = δ(C)− r+1 = 1 2 (μ(C) + 1 − r). The construction of the Jacobian variety J(C̃) of the non-singular curve C̃ in the large is standard in algebraic geometry. There is also a notion of Jacobian of a singular curve C , defined e.g. in [85], which, like the other, is an abelian group. Ther...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1979
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-42-1-263-271