On a question of Dolgachev
Algebraic Geometry
2018-07-10 v2
Abstract
For each even, positive integer , we define a rational self-map on the space of plane curves of degree , using classical contravariants. In the case of plane quartics, we show that the degree of this map is 15. This answers a question of Dolgachev on the moduli space of curves of genus 3.
Cite
@article{arxiv.1806.02113,
title = {On a question of Dolgachev},
author = {Marco Pacini and Damiano Testa},
journal= {arXiv preprint arXiv:1806.02113},
year = {2018}
}
Comments
15 pages, no figure, to appear in Mathematical Research Letters