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arXiv · 2502.06366

What makes an algebraic curve special?

Gregorio Baldi
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Abstract

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 Teichm\"{u}ller theory.

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Gregorio Baldi. 2025-02-10. What makes an algebraic curve special?. https://arxiv.org/abs/2502.06366

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