Structure of node polynomials for curves on surfaces
نویسندگان
چکیده
منابع مشابه
Computing Node Polynomials for Plane Curves
According to the Göttsche conjecture (now a theorem), the degree N of the Severi variety of plane curves of degree d with δ nodes is given by a polynomial in d, provided d is large enough. These “node polynomials” Nδ(d) were determined by Vainsencher and Kleiman–Piene for δ ≤ 6 and δ ≤ 8, respectively. Building on ideas of Fomin and Mikhalkin, we develop an explicit algorithm for computing all ...
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15 صفحه اولFitting Curves and Surfaces With Constrained Implicit Polynomials
A problem which often arises while fitting implicit polynomials to 2D and 3D data sets is the following: Although the data set is simple, the fit exhibits undesired phenomena, such as loops, holes, extraneous components, etc. Previous work tackled these problems by optimizing heuristic cost functions, which penalize some of these topological problems in the fit. This paper suggests a different ...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2014
ISSN: 0025-584X
DOI: 10.1002/mana.201200265