What makes an algebraic curve special?

Fuente: arXiv
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Main Author: Baldi, Gregorio
Format: Preprint
Published: 2025
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author Baldi, Gregorio
author_facet Baldi, Gregorio
contents A survey of special curves, special subvarieties of $\mathcal{M}_g$, 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 Teichmüller theory.
format Preprint
id arxiv_https___arxiv_org_abs_2502_06366
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle What makes an algebraic curve special?
Baldi, Gregorio
Algebraic Geometry
Number Theory
A survey of special curves, special subvarieties of $\mathcal{M}_g$, 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 Teichmüller theory.
title What makes an algebraic curve special?
topic Algebraic Geometry
Number Theory
url https://arxiv.org/abs/2502.06366