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arXiv · 2504.00789

The bielliptic locus in the Hilbert scheme of canonical curves is unirational

Andrei Stoenică
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Abstract

In this paper we prove the unirationality of the locus of bielliptic curves in the Hilbert scheme of canonical curves of genus $g \geq 11$. As a consequence, we obtain another proof for the unirationality of the bielliptic locus in the moduli space of curves of genus $g \geq 11$.

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Andrei Stoenică. 2025-04-01. The bielliptic locus in the Hilbert scheme of canonical curves is unirational. https://arxiv.org/abs/2504.00789

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