The moduli of curves is stably rational for g\(\leq 6\)

DOI10.1215/S0012-7094-84-05113-5zbMath0576.14027OpenAlexW1980270816MaRDI QIDQ1065090

Frank-Olaf Schreyer, János Kollár

Publication date: 1984

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-84-05113-5

zbMATH Keywords

genusstable rationalitymoduli space of curves

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Families, moduli of curves (algebraic) (14H10)

Related Items

The Kodaira dimension of the moduli space of curves of genus \(\geq 23\) ⋮ On the Rationality of the Variety of Smooth Rational Space Curves with Fixed Degree and Normal Bundle ⋮ On the moduli space of pointed algebraic curves of low genus. II. Rationality ⋮ Unnamed Item

Cites Work

• Rational surfaces over perfect fields
• Arithmetic variety of moduli for genus two
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• A Theorem on Valuation Rings and its Applications
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