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Families of blowups of the real affine plane: Classification, isotopies and visualization
Journal of Symbolic Computation ( IF 0.6 ) Pub Date : 2020-10-19 , DOI: 10.1016/j.jsc.2020.10.004
Markus Brodmann , Peter Schenzel

We classify embedded blowups of the real affine plane up to oriented isomorphy. We show that two blowups in the same isomorphism class are isotopic, using a matrix deformation argument similar to an idea given in Shastri (2002). This answers two questions which were motivated by the interactive visualizations of such blowups (see Schenzel and Stussak, 2013, Stussak, 2007, 2013).



中文翻译:

真实仿射平面爆炸的家族:分类,同位素和可视化

我们将真实仿射平面的嵌入爆破分类为定向同构。我们使用类似于Shastri(2002)中给出的思想的矩阵变形论证,显示了同构同构类中的两个爆炸。这回答了由此类爆炸的交互式可视化所激发的两个问题(请参阅Schenzel和Stussak,2013年; Stussak,2007年,2013年)。

更新日期:2020-11-27
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