Geodesic
The unirational components of the strata of genus $11$ curves with several pencils of degree $6$ in $\mathcal{M}_{11}$
Documenta mathematica, Tome 26 (2021), pp. 415-438 Cet article a éte moissonné depuis la source EMS Press

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We show that the strata M11,6​(k)⊂M11,6​ of 6-gonal curves of genus 11, equipped with k mutually independent and type I pencils of degree six, have a unirational irreducible component for 5≤k≤9. The unirational families arise from degree 9 plane curves with 4 ordinary triple and 5 ordinary double points that dominate an irreducible component of expected dimension. We will further show that the family of degree 8 plane curves with 10 ordinary double points covers an irreducible component of excess dimension in M11,6​(10).
DOI : 10.4171/dm/817
Classification : 14H10, 14H51, 14M20, 14Q05, 32G05
Mots-clés : unirationality, deformation, Koszul divisor, Brill-Noether 
@article{10_4171_dm_817,
     author = {Hanieh Keneshlou and Frank-Olaf Schreyer},
     title = {The unirational components of the strata of genus $11$ curves with several pencils of degree $6$ in $\mathcal{M}_{11}$},
     journal = {Documenta mathematica},
     pages = {415--438},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/817},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/817/}
}
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Hanieh Keneshlou; Frank-Olaf Schreyer. The unirational components of the strata of genus $11$ curves with several pencils of degree $6$ in $\mathcal{M}_{11}$. Documenta mathematica, Tome 26 (2021), pp. 415-438. doi: 10.4171/dm/817

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