14 citations · 27 across the 7 of their papers we have counts for
8 papers
The Fermat curves, arrangements of lines, and intersections of osculating curves
Torgunn Karoline Moe, Nils Peder Astrup Toft
In this paper we present new results about arrangements of lines and osculating curves associated to the Fermat curves in the projective plane. We first consider the sextactic poin…
Special Weierstrass points on algebraic curves in
Paul Aleksander Maugesten, Torgunn Karoline Moe
In this paper we demonstrate that the notion of inflection points and extactic points on plane algebraic curves can be suitably transferred to curves in $\mathbb{P}^1\times \mathbb…
The 2-Hessian and sextactic points on plane algebraic curves
Paul Aleksander Maugesten, Torgunn Karoline Moe
In an article from 1865, Arthur Cayley claims that given a plane algebraic curve there exists an associated 2-Hessian curve that intersects it in its sextactic points. In this pape…
Rational Cuspidal Curves
Torgunn Karoline Moe
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 particul…
Topological obstructions for rational cuspidal curves in Hirzebruch surfaces
Maciej Borodzik, Torgunn Karoline Moe
We study rational cuspidal curves in Hirzebruch surfaces. We provide two obstructions for the existence of rational cuspidal curves in Hirzebruch surfaces with prescribed types of…
On the number of cusps on cuspidal curves on Hirzebruch surfaces
Torgunn Karoline Moe
In this article we give an upper bound for the number of cusps on a cuspidal curve on a Hirzebruch surface. We adapt the results that have been found for a similar question asked f…
Rational cuspidal curves with four cusps on Hirzebruch surfaces
Torgunn Karoline Moe
The purpose of this article is to shed light on the question of how many and what kind of cusps a rational cuspidal curve on a Hirzebruch surface can have. We use birational transf…
Segre Classes on Smooth Projective Toric Varieties
Torgunn Karoline Moe, Nikolay Qviller
We provide a generalization of the algorithm of Eklund-Jost-Peterson for computing Segre classes of closed subschemes of projective k-space. The algorithm is here generalized to co…