The Chord Construction
D. Lehavi, R. Livné
Abstract
Let F be a smooth plane curve of degree 3. Let be an element in Pic(F)[2]-0. Let us define F':=p(p+)|p in F⊂(P2)*. In this note we show that F' is a smooth embedding of F/. Moreover, let ' be the generator of Pic(F)/, and let p in F be a flex, then p(p+)+' is a flex on F'. We present two proofs.
Create a lesson
Related papers
Heavy-Light Wall Crossings and Motivic Asymptotics of Moduli Spaces of Curves. Part I: Stabilization Graphs and Euler Characteristics
Giordano Cotti
The pliability of del Pezzo surfaces
Elias Kurz, Egor Yasinsky
Hessenberg character
Patrick Brosnan, Jaehyun Hong, Donggun Lee
On the geometric degree of the prolongation varieties of the differential system x1'=x22, x2'=x12
Mattia Puddu
The super Weil-Petersson asymptotic expansion and the coefficients
Xuanyu Huang, Kefeng Liu, Hao Xu
On the proof of multi-variable n/d-conjecture for hyperplane arrangements
Rui Tan, Fanghan Xiang