What makes an algebraic curve special?
Algebraic Geometry
2025-02-11 v1 Number Theory
Abstract
A survey of special curves, special subvarieties of , and related topics. A large portion of the text discusses various possible interpretation of the word 'special' in this context by giving also concrete examples. One highlight is the bi-algebraic viewpoint for atypical intersections appearing in Hodge theory as well as, more recently, in Teichm\"{u}ller theory.
Cite
@article{arxiv.2502.06366,
title = {What makes an algebraic curve special?},
author = {Gregorio Baldi},
journal= {arXiv preprint arXiv:2502.06366},
year = {2025}
}
Comments
First version, comments are welcome!