Rationality of the moduli variety of curves of genus~5
Sbornik. Mathematics, Tome 72 (1992) no. 2, pp. 439-445

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Rationality of the moduli variety of curves of genus 5 is proved.
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     author = {P. I. Katsylo},
     title = {Rationality of the moduli variety of curves of genus~5},
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P. I. Katsylo. Rationality of the moduli variety of curves of genus~5. Sbornik. Mathematics, Tome 72 (1992) no. 2, pp. 439-445. http://geodesic.mathdoc.fr/item/SM_1992_72_2_a9/