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<p>In this paper we prove the unirationality of the locus of bielliptic curves in the Hilbert scheme of canonical curves of genus <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(g \ge 11\)</EquationSource> </InlineEquation>. As a consequence, we obtain another proof for the unirationality of the bielliptic locus in the moduli space of curves of genus <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(g \ge 11\)</EquationSource> </InlineEquation>.</p>

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

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  • 发表日期：

    2026年1月6日

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  • Andrei Stoenică

摘要

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