Preprint 81/2017

Real Space Sextics and their Tritangents

Avinash Kulkarni, Yue Ren, Mahsa Sayyary Namin, and Bernd Sturmfels

Contact the author: Please use for correspondence this email.
Submission date: 20. Dec. 2017
Pages: 10
Bibtex
Download full preprint: PDF (1476 kB)
Link to arXiv:See the arXiv entry of this preprint.

Abstract:
The intersection of a quadric and a cubic surface in 3-space is a canonical curve of genus 4. It has 120 complex tritangent planes. We present algorithms for computing real tritangents, and we study the associated discriminants. We focus on space sextics that arise from del Pezzo surfaces of degree one. Their numbers of planes that are tangent at three real points vary widely; both 0 and 120 are attained. This solves a problem suggested by Arnold Emch in 1928.

07.01.2018, 01:43