论文标题

正常表面奇点上亚伯图的图像类别

Class of images of Abel maps on normal surface singularities

论文作者

Nagy, János

论文摘要

在本文中,我们研究了\ cite {nni}中描述的正常表面奇异性的亚伯图。我们研究了正常表面奇异性上亚伯图图像的仿射版本。更确切地说,我们考虑了ABEL图的图像的投射曲折,其双重投影品种,我们从其程度上提取了无限超平面在双重品种上的多样性。在通用奇点的情况下,我们证明了这种不变的明确组合公式,在一般情况下,我们证明了上限。

In this paper we investigate Abel maps on normal surface singularities described in \cite{NNI}. We investigate the affine version of the class of the images of Abel maps on normal surface singularities. More precisely we consider the projective clousure of the image of an Abel map, its dual projective variety and we substract from its degree the multiplicity of the infinite hyperplane on the dual variety. In the case of generic singularities we prove explicit combinatorial formulas of this invariant, in the general case we prove an upper bound.

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