MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Families of Blowups of the Real Affine Plane: Classification, Isotopies and Visualizations

Markus Brodmann and Peter Schenzel


We classify embedded blowups of the real a ne 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 by Shastri 2002. This answers two questions which were motivated by the interactive visualizations of such blowups.


Related publications

2021 Repository Open Access
Markus Brodmann and Peter Schenzel

Families of blowups of the real affine plane : classification, isotopies and visualization

In: Journal of symbolic computation, 104 (2021), pp. 874-898