Rational Cuspidal Curves

Torgunn Karoline Moe

Rational Cuspidal Curves

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arxiv 1511.02691 v1 pith:DFXZVF5R submitted 2015-11-09 math.AG

Torgunn Karoline Moe This is my paper · ORCID

classification math.AG

keywords curvescuspidalrationalresultsthesistopicbeencontains

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Submission on request. This Master thesis from 2008 (University of Oslo, Norway) contains no new results, but it provides an overview of plane rational cuspidal curves, in particular curves of low degree. Please note that new results on this topic and the related topic of rational cuspidal curves on Hirzebruch surfaces have been published after this thesis was written.

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Semistable Reduction of Plane Quartics
math.AG 2025-11 conditional novelty 7.0 of 10

A plane quartic admits a GIT-stable plane model exactly when its stable reduction is non-hyperelliptic, and then the stable model is the unique minimal semistable model arising by resolving the cusps of the GIT model.

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