Multi-Harnack smoothings of real plane branches
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چکیده
منابع مشابه
Multi-Harnack smoothings of real plane branches
The 16th problem of Hilbert addresses the determination and the understanding of the possible topological types of smooth real algebraic curves of a given degree in the projective planeRP . This paper is concerned with a local version of this problem: given a germ (C, 0) of real algebraic plane curve singularity, determine the possible topological types of the smoothings of C. A smoothing of C ...
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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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ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 2010
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.2118