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

Abstract 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 $$g \ge 11$$ .

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Publication Details

Journal
Annali di Matematica Pura ed Applicata (1923 -)
Published
2026-01-06
DOI
https://doi.org/10.1007/s10231-025-01643-3
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

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

Andrei Stoenică
Annali di Matematica Pura ed Applicata (1923 -)
Algebraic Geometry and Number Theory
article

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

Andrei Stoenică
article en

Abstract

Abstract 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 $$g \ge 11$$ .

Annali di Matematica Pura ed Applicata (1923 -)
University of Bucharest (RO), Romanian Academy (RO)
Openalex Percentile: Top 92%
Algebraic Geometry and Number Theory
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The bielliptic locus in the Hilbert scheme of canonical curves is unirational — Andrei Stoenică · Annali di Matematica Pura ed Applicata (1923 -) (2026) | TGRS Research Map | TGRS